Tabletop Axion – Higgs Mechanism Simulator Coming Soon

by Tommy on 1/12/2015

To a table top near you.

The force is strong with this one.

I’m not quite sure how to work the gravitoelectromagnetism in there. It will obviously have to be engineered in 4 dimensions in a non-time-reversal symmetric environment, but certainly the axion production and the Higgs mechanism can be simulated with Dirac, Weyl and Majorana fermions and domain walls. A wide variety of bosons are also readily available for this effort.

I have summarized the literature back through several blog pages now, so I won’t repeat that. The obvious place to start now is a survey of the subject of gravitoelectromagnetism itself.

There is a wiki page:

There is a relatively modern chapter publication on the subject.

Gravitoelectromagnetism: A Brief Review, Bahram Mashhoon, Published as the third chapter of The Measurement of Gravitomagnetism: A Challenging Enterprise, edited by L. Iorio (Nova Science, New York, 2007), pp. 29-39 (17 April 2008)

The main theoretical aspects of gravitoelectromagnetism (“GEM”) are presented. Two basic approaches to this subject are described and the role of the gravitational Larmor theorem is emphasized. Some of the consequences of GEM are briefly mentioned.

And finally there is a recent and moderately well informed blog post with some fairly vigorous comment discussion prominently featuring the previously mentioned accounts of this subject.

I myself find this approach appealing.

Sedeonic Equations of Gravitoelectromagnetism, V. Mironov and S. Mironov, Sedeonic Equations of Gravitoelectromagnetism, Journal of Modern Physics, 5, 917-927 (June 2014), doi:10.4236/jmp.2014.510095

In present paper we develop the description of massless fields on the basis of space-time algebra of sixteen-component sedeons. The generalized sedeonic second-order equation for unified gravito-electromagnetic (GE) field describing simultaneously weak gravity and electromagnetism is proposed. The relations for the GE field energy, momentum and Lorentz invariants are derived. The special case of GE field described by first-order sedeonic wave equation is also discussed.

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Also on the ArXiv is a different version with an additional author.

Sedeonic theory of massless fields, V. L. Mironov, S. V. Mironov, S. A. Korolev (26 June 2012)

In present paper we develop the description of massless fields on the basis of space-time algebra of sixteen-component sedeons. The generalized sedeonic second-order equation for unified gravitoelectromagnetic (GE) field describing simultaneously gravity and electromagnetism is proposed. The second-order relations for the GE field energy, momentum and Lorentz invariants are derived. We consider also the generalized sedeonic first-order equation for the massless neutrino field. The second-order relations for the neutrino potentials analogues to the Pointing theorem and Lorentz invariant relations in gravitoelectromagnetism are also derived.

In fact, there is a whole bunch of this stuff, starting here.

Sedeonic generalization of relativistic quantum mechanics, Victor L. Mironov and Sergey V. Mironov, Int. J. Mod. Phys. A 24, 6237 (15 September 2009) DOI:10.1142/S0217751X09047739

We represent sixteen-component values “sedeons,” generating associative noncommutative space–time algebra. We demonstrate a generalization of relativistic quantum mechanics using sedeonic wave functions and sedeonic space–time operators. It is shown that the sedeonic second-order equation for the sedeonic wave function, obtained from the Einstein relation for energy and momentum, describes particles with spin 1/2. We showed that the sedeonic second-order wave equation can be reformulated in the form of the system of the first-order Maxwell-like equations for the massive fields. We proposed the sedeonic first-order equations analogous to the Dirac equation, which differ in space–time properties and describe several types of massive and massless particles. In particular we proposed four different equations, which could describe four types of neutrinos.

You can follow the cites, yes, it appears people are citing this.

And yes, this is the breakthrough I am pursuing.

There is deeper meaning here.

Not sedeons, specifically.

Update: And finally, searching through the literature in a superficial manner, I ran across a now defunct online journal called Apeiron, filled with interesting and slightly odd articles that reminded me of a cosmology oriented ‘Speculations in Science and Technology‘, only edited much better. (It’s too bad Akhlesh Lakhtakia and Penn State couldn’t straighten it out, but at least they tried.)

And who did I find writing in there but Robert J. Buenker himself. It’s a small universe.

That’s too bad, because this would fit right in.

Update 2: I had a completely different idea in mind when I invented Quantum Astrophysics.

This was completely … unexpected.

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Welcome to the Future of Life on Monkey Pollution Planet Earth

by Tommy on 30/11/2015
Beijing China Smog Pollution

Beijing China Smog Pollution

Are you people out of your fucking minds? What the fuck is wrong with you people?

I should just cut you all loose. You aren’t worth my trouble.

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The Higgs Mechanism in a Quantum Critical Universe

by Tommy on 30/11/2015

So on my very first Sunday night trip to HEP on the ArXiv I find this.

The Quantum Critical Higgs, Brando Bellazzini, Csaba Csáki, Jay Hubisz, Seung J. Lee, Javi Serra and John Terning (25 November 2015)

The appearance of the light Higgs boson at the LHC is difficult to explain, particularly in light of naturalness arguments in quantum field theory. However light scalars can appear in condensed matter systems when parameters (like the amount of doping) are tuned to a critical point. At zero temperature these quantum critical points are directly analogous to the finely tuned standard model. In this paper we explore a class of models with a Higgs near a quantum critical point that exhibits non-mean-field behavior. We discuss the parametrization of the effects of a Higgs emerging from such a critical point in terms of form factors, and present two simple realistic scenarios based on either generalized free fields or a 5D dual in AdS space. For both of these models we consider the processes ggZZ and gghh, which can be used to gain information about the Higgs scaling dimension and IR transition scale from the experimental data.

This will be great for my report!

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High Energy Physics Condensed Matter Physics Showdown

by Tommy on 29/11/2015

Physics is not going to be the same after this, trust me.

My problem is how do I write this up.

Behold the Higgs Axion era.

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Will the Axion – Higgs Unification Survive LHC Leptoquarks?

by Tommy on 29/11/2015

Axion-Higgs Unification, Michele Redi and Alessandro Strumia, CERN-PH-TH/2012-233, Journal of High Energy Physics, 103 (19 November 2012), DOI:10.1007/JHEP11(2012)103

In theories with no fundamental scalars, one gauge group can become strong at a large scale Lambda and spontaneously break a global symmetry, producing the Higgs and the axion as composite pseudo-Nambu-Goldstone bosons. We show how KSVZ and DFSZ axion models can be naturally realised. The assumption Lambda around 1011 GeV is phenomenologically favoured because: a) The axion solves the QCD theta problem and provides the observed DM abundance; b) The observed Higgs mass is generated via RGE effects from a small Higgs quartic coupling at the compositeness scale, provided that the Higgs mass term is fine-tuned to be of electroweak size; c) Lepton, quark as well as neutrino masses can be obtained from four-fermion operators at the compositeness scale. d) The extra fermions can unify the gauge couplings.

The word on the street is leptoquarks and other weirdness at the LHC. I have no idea where this is going. I can’t see any real progress on this without the laboratory Axion – Higgs simulations.

Branes in a box. Brains verses Branes. It’s gonna be a showdown.

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Math for Axion Physics Simulation in Topological Materials

by Tommy on 29/11/2015

The Electromagnetic Green’s Function for Layered Topological Insulators, J. A. Crosse, Sebastian Fuchs and Stefan Yoshi Buhmann (10 September 2015)

The dyadic Green’s function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including both classical and quantum, linear and nonlinear optics, dispersion forces (such as the Casimir and Casimir-Polder forces) and in the dynamics of trapped atoms and molecules. Here, we compute the Green’s function for a layered topological insulator. Via the magnetoelectric effect, topological insulators are able to mix the electric, E, and magnetic induction, B, fields and, hence, one finds that the TE and TM polarizations mix on reflection from/transmission through an interface. This leads to novel field patterns close to the surface of a topological insulator.

Well, it’s a start, I guess. This is going to be big, anyways.

The Higgs – Axion simulator.

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Thermal Behavior and Bose-Einstein Condensation of Axions

by Tommy on 29/11/2015

The Rethermalizing Bose-Einstein Condensate of Dark Matter Axions, Nilanjan Banik, Adam Christopherson, Pierre Sikivie and Elisa Maria Todarello, Contributed to the 11th Patras Workshop on Axions, WIMPs and WISPs, Zaragoza, June 22 to 26, 2015 (7 September 2015)

The axions produced during the QCD phase transition by vacuum realignment, string decay and domain wall decay thermalize as a result of their gravitational self-interactions when the photon temperature is approximately 500 eV. They then form a Bose-Einstein condensate (BEC). Because the axion BEC rethermalizes on time scales shorter than the age of the universe, it has properties that distinguish it from other forms of cold dark matter. The observational evidence for caustic rings of dark matter in galactic halos is explained if the dark matter is axions, at least in part, but not if the dark matter is entirely WIMPs or sterile neutrinos.

See also:

Cosmic Axion Bose-Einstein Condensation, Nilanjan Banik and Pierre Sikivie, Book chapter in “Universal Themes of Bose-Einstein Condensation”, to be published by Cambridge University Press, edited by David Snoke, Nikolaos Proukakis and Peter Littlewood (23 January 2015)

QCD axions are a well-motivated candidate for cold dark matter. Cold axions are produced in the early universe by vacuum realignment, axion string decay and axion domain wall decay. We show that cold axions thermalize via their gravitational self-interactions, and form a Bose-Einstein condensate. As a result, axion dark matter behaves differently from the other proposed forms of dark matter. The differences are observable.

That pretty much wraps it up for me. I am up to date on this. Except for the string theory.

The axion simulator I just discovered and invented should help out there quite a bit.

Update: Surveying the literature it appears this is a contentious argument.

Far from equilibrium dynamics of Bose-Einstein condensation for Axion Dark Matter, Jürgen Berges and Joerg Jaeckel, Phys. Rev. D 91, 025020 (22 January 2015), DOI:10.1103/PhysRevD.91.025020

Axions and similar very weakly interacting particles are increasingly compelling candidates for the cold dark matter of the Universe. Having very low mass and being produced nonthermally in the early universe, axions feature extremely high occupation numbers. It has been suggested that this leads to the formation of a Bose-Einstein condensate with potentially significant impact on observation and direct detection experiments. In this paper we aim to clarify that if Bose-Einstein condensation occurs for light and very weakly interacting dark matter particles, it does not happen in thermal equilibrium but is described by a far from equilibrium state. In particular we point out that the dynamics is characterized by two very different time scales, such that condensation occurs on a much shorter time scale than full thermalization.

So I’m off to Motl’s to see what’s happening in string theory and HEP at the LHC.

You can tell I’m in over my head now.

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Relaxion, Axions are Real – So Let the Hand Waving Begin

by Tommy on 28/11/2015

They’re everywhere, swish them up. Wave your hands. Or do we have to travel to an axion caustic? Is supersymmetry really dead? Already I wish Al Gore had never invented the axion.

Axion cosmology, lattice QCD and the dilute instanton gas, Sz. Borsanyi, M. Dierigl, Z. Fodor, S.D. Katz S.W. Mages, D. Nogradi, J. Redondo, A. Ringwald and K.K. Szabo, Physics Letters B (11 November 2015), doi:10.1016/j.physletb.2015.11.020

Axions are one of the most attractive dark matter candidates. The evolution of their number density in the early universe can be determined by calculating the topological susceptibility χ(T) of QCD as a function of the temperature. Lattice QCD provides an ab initio technique to carry out such a calculation. A full result needs two ingredients: physical quark masses and a controlled continuum extrapolation from non-vanishing to zero lattice spacings. We determine χ(T) in the quenched framework (infinitely large quark masses) and extrapolate its values to the continuum limit. The results are compared with the prediction of the dilute instanton gas approximation (DIGA). A nice agreement is found for the temperature dependence, whereas the overall normalization of the DIGA result still differs from the non-perturbative continuum extrapolated lattice results by a factor of order ten. We discuss the consequences of our findings for the prediction of the amount of axion dark matter.

That’s the brute force approach. There is also hand waving.

Relaxing the Electroweak Scale: the Role of Broken dS Symmetry, Subodh P. Patil, Pedro Schwaller, CERN-PH-TH-2015-179 (30 July 2015)

Recently, a novel mechanism to address the hierarchy problem has been proposed, where the hierarchy between weak scale physics and any putative ‘cutoff’ M is translated into a parametrically large field excursion for the so-called relaxion field, driving the Higgs mass to values much less than M through cosmological dynamics. In its simplest incarnation, the relaxion mechanism requires nothing beyond the standard model other than an axion (the relaxion field) and an inflaton. In this note, we critically re-examine the requirements for successfully realizing the relaxion mechanism and point out that parametrically larger field excursions can be obtained for a given number of e-folds by simply requiring that the background break exact de Sitter invariance. We discuss several corollaries of this observation, including the interplay between the upper bound on the scale M and the order parameter ϵ associated with the breaking of dS symmetry, and the possibility that the relaxion could play the role of a curvaton. We find that a successful realization of the mechanism is possible with as few as O(103) e-foldings, albeit with a reduced cutoff M ∼ 106 GeV for a dark QCD axion and outline a minimal scenario that can be made consistent with CMB observations.

What I see is a lot of flailing around in the dark. It’s time to build my axion physics simulator.

What could possibly go wrong? This is why I never read much high energy physics, and never really followed it. My perspective was there was no practical benefit to society. But now that this has reared its ugly head in condensed matter physics, I no longer have any choice in the matter.

The matter we have is the matter we’ve got. It looks like suddenly we have a whole lot more of it. Using topological superconductors and condensed matter physics we can detect it, identify it, simulate it, and then manipulate it directly, using gravitoelectromagnetism. It should be fabulous.

Welcome to my Higgs-O-Tron. Axiotronics. Axionics.

You heard it here first. You can cite me on that.

Up next: Bose-Einstein condensation.

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Lunar Orbital Inclination Result of Multiple Planetesimal Flybys

by Tommy on 28/11/2015

Collisionless encounters and the origin of the lunar inclination, Kaveh Pahlevan and Alessandro Morbidelli, Nature 527, 492–494 (26 November 2015), doi:10.1038/nature16137

The Moon is generally thought to have formed from the debris ejected by the impact of a planet-sized object with the proto-Earth towards the end of planetary accretion. Models of the impact process predict that the lunar material was disaggregated into a circumplanetary disk and that lunar accretion subsequently placed the Moon in a near-equatorial orbit. Forward integration of the lunar orbit from this initial state predicts a modern inclination at least an order of magnitude smaller than the lunar value—a long-standing discrepancy known as the lunar inclination problem. Here we show that the modern lunar orbit provides a sensitive record of gravitational interactions with Earth-crossing planetesimals that were not yet accreted at the time of the Moon-forming event. The currently observed lunar orbit can naturally be reproduced via interaction with a small quantity of mass (corresponding to 0.0075–0.015 Earth masses eventually accreted to the Earth) carried by a few bodies, consistent with the constraints and models of late accretion. Although the encounter process has a stochastic element, the observed value of the lunar inclination is among the most likely outcomes for a wide range of parameters. The excitation of the lunar orbit is most readily reproduced via collisionless encounters of planetesimals with the Earth–Moon system with strong dissipation of tidal energy on the early Earth. This mechanism obviates the need for previously proposed (but idealized) excitation mechanisms, places the Moon-forming event in the context of the formation of Earth, and constrains the pristineness of the dynamical state of the Earth–Moon system.

Duh! Why are these things so bleeding obvious right after somebody figures it out?

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The Hunt for Axions and Axion Like Particles (ALPs) Heats Up

by Tommy on 27/11/2015

Now that axion physics have been confirmed via condensed matter physics experiments in the laboratory, as I pointed out in the previous post, and indeed, the ability to manipulate the Higgs mechanism and explore the coupling of dynamical axion fields to gravitoelectromagnetism has been clearly elucidated by mathematical and theoretical methods, producing a wide variety of coupled physical phenomena involving mass, momentum, particle transport, heat and energy (think Onsager relationships), the next move in my personal journey is to explore this further.

That involves reading all of these articles and PowerPoint presentations by Andreas Ringwald.

There are quite a few to list. I will list them as I see and read them, from relevant to recent.

Axions and Axion-Like Particles, A. Ringwald, DESY 14-108, Invited review talk at the Rencontres de Moriond EW 2014, 15-22 March 2014, La Thuile, Italy (2 July 2014)

The physics case for axions and axion-like particles is reviewed and an overview of ongoing and near-future laboratory searches is presented.

Axions and Axion-Like Particles in the Dark Universe, Andreas Ringwald, HAP Dark Matter 2013, Universität Münster, Münster, Germany (18-20 February 2013)

The hunt for axions, Andreas Ringwald, DESY 15-089, Invited talk at XVI International Workshop on Neutrino Telescopes, 2-6 March 2015, Palazzo Franchetti, Istituto Veneto, Venice, Italy (13 June 2015)

Many theoretically well-motivated extensions of the Standard Model of particle physics predict the existence of the axion and further ultralight axion-like particles. They may constitute the mysterious dark matter in the universe and solve some puzzles in stellar and high-energy astrophysics. There are new, relatively small experiments around the globe, which started to hunt for these elusive particles and complement the accelerator based search for physics beyond the Standard Model.

Exploring the Role of Axions and Other WISPs in the Dark Universe, Andreas Ringwald, DESY 12-170, Invited review to special issue ‘The next decade in Dark Matter and Dark Energy’ Physics of the Dark Universe, Volume 1, Issues 1–2, Pages 116–135 (31 October 2012), doi:10.1016/j.dark.2012.10.008

Axions and other very weakly interacting slim particles (WISPs) may be non-thermally produced in the early universe and survive as constituents of the dark universe. We describe their theoretical motivation and their phenomenology. A huge region in parameter space spanned by their couplings to photons and their masses can give rise to the observed cold dark matter abundance. A wide range of experiments – direct dark matter searches exploiting microwave cavities, searches for solar axions or WISPs, and light-shining-through-a-wall searches – can probe large parts of this parameter space in the foreseeable future.

Exploring the Role of Axions and Other Ultralight Particles in the Dark Universe, Andreas Ringwald, George Marx Memorial Lecture, Budapest, Hungary (21 May 2015)

I had no idea a mess like this would be thrust into my lap.

I did not see any of this coming.

I should have known.

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Topological Magneto Electric Effect by Chern Structure in Strontium Ruthenate – Sr2RuO4

by Tommy on 26/11/2015

Emergence of the Chern structure using Sr2RuO4 nanofilms, Hiroyoshi Nobukane, Toyoki Matsuyama and Satoshi Tanda (6 August 2015)

We discovered a fractional Chern structure in chiral superconducting Sr2RuO4 nanofilms by employing electric transport. By using Sr2RuO4 single crystals with nanoscale thickness, a fractional Hall conductance was observed without an external magnetic field. The Sr2RuO4 nanofilms enhanced the superconducting transition temperature to about 3 K. We found an anomalous induced voltage with temperature and thickness dependence, and the switching behavior of the induced voltage appeared when we applied a magnetic field. We suggest that there was fractional magnetic-field-induced electric polarization in the interlayer. These anomalous results are related to topological invariance. The fractional axion angle θ=π/6 is determined by observing the topological magneto-electric effect in Sr2RuO4 nanofilms.

See also:

Topological electromagnetic response in the chiral superconductor Sr2RuO4, Hiroyoshi Nobukane, Toyoki Matsuyama and Satoshi Tanda, Physica B: Condensed Matter, 460, 168–170 (1 March 2015), doi:10.1016/j.physb.2014.11.062

We report the observation of a fractional topological magneto-electric effect in Sr2RuO4 single crystal thin films by measuring the electric transport properties. In the absence of an external magnetic field, the surface transport in Sr2RuO4 thin films exhibited a fractional quantum Hall conductance in the superconducting state. The fractional magnetic-field-induced electric polarization was observed under zero bias current. We can understand the fractional quantum Hall conductance as a consequence of the observation of the (2+1) – dimensional topological surface state in the (3+1) – dimensional fractional topological magneto-electric effect in Sr2RuO4 thin films.

So now I find out this prediction has already been confirmed by transport measurements.

Let the esoteric cosmic QCD axion physics era emerge!

Up next: mass, momentum and heat.

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Photochemical Dissociation and Depletion of Mars Atmosphere

by Tommy on 26/11/2015

Tracing the fate of carbon and the atmospheric evolution of Mars, Renyu Hu, David M. Kass, Bethany L. Ehlmann and Yuk L. Yung, Nature Communications, 6, 10003 (24 November 2015), doi:10.1038/ncomms10003

The climate of Mars likely evolved from a warmer, wetter early state to the cold, arid current state. However, no solutions for this evolution have previously been found to satisfy the observed geological features and isotopic measurements of the atmosphere. Here we show that a family of solutions exist, invoking no missing reservoirs or loss processes. Escape of carbon via CO photodissociation and sputtering enriches heavy carbon (13C) in the Martian atmosphere, partially compensated by moderate carbonate precipitation. The current atmospheric 13C/12C and rock and soil carbonate measurements indicate an early atmosphere with a surface pressure < 1 bar. Only scenarios with large amounts of carbonate formation in open lakes permit higher values up to 1.8  bar. The evolutionary scenarios are fully testable with data from the MAVEN mission and further studies of the isotopic composition of carbonate in the Martian rock record through time.

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What We Know About OSIRIS-REx Asteroid (101955) Bennu

by Tommy on 25/11/2015
Asteroid 101955 Bennu

Asteroid 101955 Bennu

The Design Reference Asteroid for the OSIRIS-REx Mission Target (101955) Bennu, Carl W. Hergenrother, Maria Antonietta Barucci, Olivier Barnouin, Beau Bierhaus, Richard P. Binzel, William F. Bottke, Steve Chesley, Ben C. Clark, Beth E. Clark, Ed Cloutis, Christian Drouet d’Aubigny, Marco Delbo, Josh Emery, Bob Gaskell, Ellen Howell, Lindsay Keller, Michael Kelley, John Marshall, Patrick Michel, Michael Nolan, Bashar Rizk, Dan Scheeres, Driss Takir, David D. Vokrouhlický, Ed Beshore and Dante S. Lauretta, (16 September 2014)

The Design Reference Asteroid (DRA) is a compilation of all that is known about the OSIRIS-REx mission target, asteroid (101955) Bennu. It contains our best knowledge of the properties of Bennu based on an extensive observational campaign that began shortly after its discovery, and has been used to inform mission plan development and flight system design. The DRA will also be compared with post-encounter science results to determine the accuracy of our Earth-based characterization efforts. The extensive observations of Bennu in 1999 has made it one of the best-characterized near-Earth asteroids. Many physical parameters are well determined, and span a number of categories: Orbital, Bulk, Rotational, Radar, Photometric, Spectroscopic, Thermal, Surface Analog, and Environment Properties. Some results described in the DRA have been published in peer-reviewed journals while others have been reviewed by OSIRIS-REx Science Team members and/or external reviewers. Some data, such as Surface Analog Properties, are based on our best knowledge of asteroid surfaces, in particular those of asteroids Eros and Itokawa. This public release of the OSIRIS-REx Design Reference Asteroid is a annotated version of the internal OSIRIS-REx document OREX-DOCS-04.00-00002, Rev 9 (accepted by the OSIRIS-REx project on 2014-April-14). The supplemental data products that accompany the official OSIRIS-REx version of the DRA are not included in this release. We are making this document available as a service to future mission planners in the hope that it will inform their efforts.

The more I think about it, Bennu has the greatest possibilities.

It’s big, it’s somewhat close, if being on the other side of the sun for years can be close, it’s not particularly stony, whatever it is, and it will be the best known asteroid when they’re done with it.

Thunderbirds are go!

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Cross-Correlated Responses of Topological Superconductors and Superfluids

by Tommy on 24/11/2015

Cross-Correlated Responses of Topological Superconductors and Superfluids, Kentaro Nomura, Shinsei Ryu, Akira Furusaki and Naoto Nagaosa, Phys. Rev. Lett. 108, 026802 (12 January 2012), DOI:10.1103/PhysRevLett.108.026802

We study nontrivial responses of topological superconductors and superfluids to the temperature gradient and rotation of the system. In two-dimensional gapped systems, the Strěda formula for the electric Hall conductivity is generalized to the thermal Hall conductivity. Applying this formula to the Majorana surface states of three-dimensional topological superconductors predicts cross-correlated responses between the orbital angular momentum and thermal polarization (entropy polarization). These results can be naturally related to the gravitoelectromagnetism description of three-dimensional topological superconductors and superfluids, analogous to the topological magnetoelectric effect in Z2 topological insulators.

See also:

Topological field theory of time-reversal invariant insulators, Xiao-Liang Qi, Taylor L. Hughes and Shou-Cheng Zhang, Phys. Rev. B 78, 195424 (24 November 2008), DOI:10.1103/PhysRevB.78.195424

Download PDF

We show that the fundamental time-reversal invariant (TRI) insulator exists in 4+1 dimensions, where the effective-field theory is described by the (4+1)- dimensional Chern-Simons theory and the topological properties of the electronic structure are classified by the second Chern number. These topological properties are the natural generalizations of the time reversal-breaking quantum Hall insulator in 2+1 dimensions. The TRI quantum spin Hall insulator in 2+1 dimensions and the topological insulator in 3+1 dimensions can be obtained as descendants from the fundamental TRI insulator in 4+1 dimensions through a dimensional reduction procedure. The effective topological field theory and the Z2 topological classification for the TRI insulators in 2+1 and 3+1 dimensions are naturally obtained from this procedure. All physically measurable topological response functions of the TRI insulators are completely described by the effective topological field theory. Our effective topological field theory predicts a number of measurable phenomena, the most striking of which is the topological magnetoelectric effect, where an electric field generates a topological contribution to the magnetization in the same direction, with a universal constant of proportionality quantized in odd multiples of the fine-structure constant α = e2/ℏc. Finally, we present a general classification of all topological insulators in various dimensions and describe them in terms of a unified topological Chern-Simons field theory in phase space.

See also this Review:

Viewpoint: High-energy physics in a new guise, Marcel Franz, APS Physics 1, 36 (24 November 2008)

The esoteric concept of “axions” was born thirty years ago as an attempt to resolve a puzzle in the description of the strong interaction between quarks. It appears that the same physics — though in a much different context — applies to an unusual class of insulators.

In these presentations the math is much more accessible.

Seven years ago today. 100 years ago tomorrow

Axions – whoever heard of such a thing!

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Nuclear Isotope Proxies Reveal Oxygenation of Atmosphere

by Tommy on 24/11/2015

Transient episodes of mild environmental oxygenation and oxidative continental weathering during the late Archean, Brian Kendall, Robert A. Creaser, Christopher T. Reinhard, Timothy W. Lyons and Ariel D. Anbar, Science Advances, Vol. 1, No. 10, e1500777 (20 November 2015), DOI:10.1126/sciadv.1500777

It is not known whether environmental O2 levels increased in a linear fashion or fluctuated dynamically between the evolution of oxygenic photosynthesis and the later Great Oxidation Event. New rhenium-osmium isotope data from the late Archean Mount McRae Shale, Western Australia, reveal a transient episode of oxidative continental weathering more than 50 million years before the onset of the Great Oxidation Event. A depositional age of 2495 ± 14 million years and an initial 187Os/188Os of 0.34 ± 0.19 were obtained for rhenium- and molybdenum-rich black shales. The initial 187Os/188Os is higher than the mantle/extraterrestrial value of 0.11, pointing to mild environmental oxygenation and oxidative mobilization of rhenium, molybdenum, and radiogenic osmium from the upper continental crust and to contemporaneous transport of these metals to seawater. By contrast, stratigraphically overlying black shales are rhenium- and molybdenum-poor and have a mantle-like initial 187Os/188Os of 0.06 ± 0.09, indicating a reduced continental flux of rhenium, molybdenum, and osmium to seawater because of a drop in environmental O2 levels. Transient oxygenation events, like the one captured by the Mount McRae Shale, probably separated intervals of less oxygenated conditions during the late Archean.

Very nice. Behold the slime era!

Soon there will be blobs.

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Blue Origin Jeff Bezos Hydrogen Reusable Launch Vehicle Test

by Tommy on 22/11/2015
Jeff Bezos - Blue Origin - BE-3 - First Flight

Jeff Bezos – Blue Origin – BE-3 – First Flight

Soon. Today or Tomorrow.

Stay tuned for updates.

Update: 329,839 feet. 100.5 kilometers.

Blue Origin New Shepard Used Launch Vehicle

Blue Origin New Shepard Used Launch Vehicle

Free on the curb. Must take all.

Update 2: Space geeks, space nerds and space cadets are having a field day with this one.

Hopefully Elon Musk and his team at SpaceX will have a successful return to flight real soon.

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Supersymmetric Dark Matter WIMPs Now Poised to be Refuted

by Tommy on 20/11/2015
Gran Sasso National Laboratory Xenon1T WIMP Detector

Gran Sasso National Laboratory Xenon1T WIMP Detector

Largest ever dark-matter experiment poised to test popular theory, XENON1T could make history – or spell the end for ‘supersymmetric’ dark matter, Edwin Cartlidge, Nature (16 November 2015), doi:10.1038/nature.2015.18772

That is one fine looking gonkulator they have there.

Axions are the next big thing.

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Ab Initio Calculation of Most Probable N-Diamond Structure

by Tommy on 19/11/2015

Here is something I missed.

Ab initio structure determination of n-diamond, Da Li, Fubo Tian, Binhua Chu, Defang Duan, Xiaojing Sha, Yunzhou Lv, Huadi Zhang, Nan Lu, Bingbing Liu and Tian Cui, Scientific Reports 5, 13447 (24 August 2015), doi:10.1038/srep13447

A systematic computational study on the crystal structure of n-diamond has been performed using first-principle methods. A novel carbon allotrope with hexagonal symmetry R32 space group has been predicted. We name it as HR-carbon. HR-carbon composed of lonsdaleite layers and unique C3 isosceles triangle rings, is stable over graphite phase above 14.2 GPa. The simulated x-ray diffraction pattern, Raman, and energy-loss near-edge spectrum can match the experimental results very well, indicating that HR-carbon is a likely candidate structure for n-diamond. HR-carbon has an incompressible atomic arrangement because of unique C3 isosceles triangle rings. The hardness and bulk modulus of HR-carbon are calculated to be 80 GPa and 427 GPa, respectively, which are comparable to those of diamond. C3 isosceles triangle rings are very important for the stability and hardness of HR-carbon.

Every thing you know is wrong.

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Amalgamated Minerals Praises US Space Mining Legislation

by Tommy on 18/11/2015

November 18, 2015

Press Release. News Release. Released For Immediate Publication.

Hugh Mann, president and CEO of Amalgamated Minerals LLC of Deimos, Mars, praises the recent passage of H.R. 1508, the Space Resource Exploration and Utilization Act of 2015, and H. R. 2262, the U.S. Commercial Space Launch Competitiveness Act, and wishes for a speedy presidential signature on that insignificant scrap of paper, hopefully before the giant asteroid hits the Earth and destroys humanity. Fortunately the president will soon save us from bankruptcy.

“We just can’t have any loose ends up here, life is tough enough already”, stated Hugh Mann.

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Structure and Superconductivity of Bismuth Hydrides Studied

by Tommy on 18/11/2015

Ok, get ready, here it comes!

High-pressure structures and superconductivity of bismuth hydrides, Yanbin Ma, Defang Duan, Da Li, Yunxian Liu, Fubo Tian, Hongyu Yu, Chunhong Xu, Ziji Shao, Bingbing Liu and Tian Cui
(17 November 2015)

We have systematically searched for the ground state structures of bismuth hydrides based on evolutionary algorithm method and particle swarm optimization algorithm method. Given only rich-hydrogen region, except for BiH3, other hydrides (BiH, BiH2, BiH4, BiH5, BiH6) have been predicted to be stable with pressurization. With the increase of hydrogen content, hydrogen exists in bismuth hydrides with the different forms and presents the characteristics of ionicity. Under high pressure, the remarkable structural feature is the emergence of H2 units in BiH2, BiH4 and BiH6, and BiH6 adopts a startling layered structure intercalated by H2 and the linear H3 units. Further calculations show these energetically stable hydrides are good metal and their metallic pressures are lower than that of pure solid hydrogen because of the doping impurities. The Tc in the range of 20-119 K has been calculated by the Allen-Dynes modified McMillan equation, which indicates all these stable hydrides are potential high-temperature superconductors. Remarkably, it is the H-Bi-H and Bi atoms vibrations rather than the high-frequency H2 or H3 units that dominate the superconductivity. In addition, hydrogen content has a great influence on the superconducting transition temperature.

Now muck it up with some iodine.

This is gonna be great fun.

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Human Space Missions to the Fifth Planet Ceres Planned

by Tommy on 17/11/2015
Ceres Dawn Crater Bright Spots Mountain Channels

Ceres Dawn Crater Bright Spots Mountain Channels

Led by Lou Friedman, The Planetary Society, and the Iranians, of course.

A final mission destination scenario is developed and presented for my space colonization architecture, using ground truth from the high and mid level mapping of Ceres, and as a direct challenge to a recent Planetary Society essay by Louis Friedman where he claims colonization of deep space is impossible.

Ceres is a massive planetoid in the center of the asteroid belt between Mars and Jupiter, and possesses the fourth largest surface gravitational attraction moderately acceptable for human habitation, after the Earth, Mars and the Moon. With a solar irradiance of only 1/10th that of the Earth, it is most likely the final practicable location for permanent human space colonization within the entire inner solar system.

Ceres is a water abundant ice world, due to the circumstances of gas giant planetary migration in the early evolution of the solar system, possessing a frozen deep ocean lying just below its dry, disordered surface crust and regolith. It appears that in many areas water vapor cryovolcanism and crustal eruption has occurred in the past, leaving bright deposits of salts and minerals observed widely across the body. The surface soils of Ceres appears to consist of widespread ammoniated and hydrated phyllosilicates, and other various clay like minerals, interspersed and contaminated with a variety of impact materials.

Missions to the Fifth Planet Ceres

More low hanging fruit.

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The Latest and Greatest Thinking on the Cosmic QCD Axions

by Tommy on 16/11/2015

They Might Be Giants

Relatively speaking, that is.

Lattice QCD and Axion Cosmology, Evan Berkowitz, Proceedings for the 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe International Conference Center, Kobe, Japan (9 September 2015)

The Strong CP Problem can be resolved by introducing an additional global symmetry known as Peccei-Quinn symmetry. Once PQ symmetry is broken the associated particle, the QCD axion, is a plausible dark matter candidate. Calculating the cosmological energy density of the axion requires nonperturbative QCD input – the high-temperature topological susceptibility. I will show results from a pure-glue calculation and examine the implications for the axion mass and coupling.

See also:

The QCD axion, precisely, Giovanni Grilli di Cortona, Edward Hardy, Javier Pardo Vega and Giovanni Villadoro (9 November 2015)

We show how several properties of the QCD axion can be extracted at high precision using only first principle QCD computations. By combining NLO results obtained in chiral perturbation theory with recent Lattice QCD results the full axion potential, its mass and the coupling to photons can be reconstructed with percent precision. Axion couplings to nucleons can also be derived reliably, with uncertainties smaller than ten percent. The approach presented here allows the precision to be further improved as uncertainties on the light quark masses and the effective theory couplings are reduced. We also compute the finite temperature dependence of the axion potential and its mass up to the crossover region. For higher temperature we point out the unreliability of the conventional instanton approach and study its impact on the computation of the axion relic abundance.

0.1 meV is a pretty heavy axion, as far as axions go.

Wanna scrunch some leaves?

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The Higgs Mechanism in Axionic Topological Superconductors

by Tommy on 15/11/2015

Higgs Mechanism and Anomalous Hall Effect in Three-Dimensional Topological Superconductors, Flavio S. Nogueira, Asle Sudbø and Ilya Eremin (29 April 2015)

We demonstrate that the Higgs mechanism in three-dimensional topological superconductors exhibits unique features with experimentally observable consequences. The Higgs model we discuss has two superconducting components and an axion-like magnetoelectric term with the phase difference of the superconducting order parameters playing the role of the axion field. Due to this additional term, quantum electromagnetic and phase fluctuations lead to a robust topologically non-trivial state that cannot be continuously deformed into a topologically non-trivial one. In the low frequency London regime an anomalous Hall effect is induced in the presence of an applied electric field parallel to the surface. This anomalous Hall current is induced by a Lorentz-like force arising from the axion term, and it involves the relative superfluid velocity of the superconducting components. The anomalous Hall current has a negative sign, a situation reminiscent, but quite distinct in physical origin, of the anomalous Hall effect observed in high-Tc superconductors.

I’ve always been a fan of Dr. Sudbø. Ever since I tried to compress a two hour Lizard Lounge science night presentation of my work to some weird biologists, geologists and geophysicists, into a ten minute international conference talk. Dr. Sudbø was the only one who got BCS-BEC.

All I learned was how not to give a science infomercial.

Behold the axion era!

Update: This arXiv paper has been updated.

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A Brief Review of Axionic Superconductivity

by Tommy on 15/11/2015

Axionic superconductivity in three dimensional doped narrow gap semiconductors, Pallab Goswami and Bitan Roy, Phys. Rev. B 90, 041301(R) ( 2014), DOI:10.1103/PhysRevB.90.041301

We consider the competition between the conventional s-wave and the triplet Balian-Werthamer or the B-phase pairings in the doped three dimensional narrow gap semiconductors, such as CuxBi2Se3 and Sn1−xInxTe. When the coupling constants of the two contending channels are comparable, we find a simultaneously time-reversal and parity violating p+is state at low temperatures, which provides an example of dynamic axionic state of matter. In contradistinction to the time-reversal invariant, topological B-phase, the p+is state possesses gapped Majorana fermions as the surface Andreev bound states, which give rise to an anomalous surface thermal Hall effect. The anomalous gravitational and electrodynamic responses of the p+is state can be described by the θ vacuum structure, where θ ≠ 0 or π.

See also:

Resonance-state-induced superconductivity at high Indium contents in In-doped SnTe, Neel Haldolaarachchige, Quinn Gibson, Weiwei Xie, Morten Bormann Nielsen, Satya Kushwaha and R. J. Cava

We report a reinvestigation of superconducting Sn1−xInxTe at both low and high In doping levels. Analysis of the superconductivity reveals a fundamental change as a function of x: the system evolves from a weakly coupled to a strongly coupled superconductor with increasing indium content. Hall Effect measurements further show that the carrier density does not vary linearly with Indium content; indeed at high Indium content, the samples are overall n-type, which is contrary to expectations of the standard picture of In1+ replacing Sn2+ in this material. Density functional theory calculations probing the electronic state of In in SnTe show that it does not act as a trivial hole dopant, but instead forms a distinct, partly filled In 5 s – Te p hybridized state centered around EF, very different from what is seen for other nominal hole dopants such as Na, Ag, and vacant Sn sites. We conclude that superconducting In-doped SnTe therefore cannot be considered as a simple hole doped semiconductor.

If at first you don’t succeed, try try again.

Or something like that.

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Atsuo Shitade at Kyoto – Gravitation, Heat and Momentum

by Tommy on 15/11/2015

Why do I need the (Schwinger) Keldysh formalism?

Because of yet another rising star out of the Kyoto group.

Atsuo Shitade

Heat transport as torsional responses and Keldysh formalism in a curved spacetime, Atsuo Shitade, Prog. Theor. Exp. Phys., 123I01 (10 December 2014), doi:10.1093/ptep/ptu162

We revisit a theory of heat transport in the light of a gauge theory of gravity and find the proper heat current with a corresponding gauge field, which yields the natural definitions of the heat magnetization and the Kubo-formula contribution to the thermal conductivity as torsional responses. We also develop a general framework for calculating gravitational responses by combining the Keldysh and Cartan formalisms. By using this framework, we explicitly calculate these two quantities and reproduce the Wiedemann–Franz law for the thermal Hall conductivity in the clean and non-interacting case. Finally, we discuss an effective action for the quantized thermal Hall effect in (2+1)-D topological superconductors.

See also:

Theory of Charge and Heat Polarizations with the Keldysh Formalism, Atsuo Shitade, J. Phys. Soc. Jpn. 83, 033708 ( 25 February 2014), DOI:10.7566/JPSJ.83.033708

We investigate the heat polarization, a heat analog of the charge polarization, by using the gauge-covariant Keldysh formalism. In contrast to the charge-heat analogy naively expected, we find that the heat polarization does not appear spontaneously, since it consists not only of the heat-transfer contribution but of the heat-generation contribution, leading to the Mott rule. Nonetheless, it can be induced by a torsional magnetic field in (3 + 1)-D topological insulators and superconductors, which is described by the temporal part of the Nieh–Yan action.

I’m feeling distinctly Einsteinish with this.

The math is … torturous.

To say the least.

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All Mathematics is Physics and All Physics is Mathematics

by Tommy on 12/11/2015

Oh, and one more thing, said Professor Clodumbo.

Quantum mechanical derivation of the Wallis formula for π, Tamar Friedmann and C. R. Hagen, J. Math. Phys. 56, 112101 (2015), DOI:10.1063/1.4930800

A famous pre-Newtonian formula for π is obtained directly from the variational approach to the spectrum of the hydrogen atom in spaces of arbitrary dimensions greater than one, including the physical three dimensions.

Quantum mechanics is suddenly a hot topic, even Forbes is covering it.

Remember that when researching Category Theory.

Up next – The Keldysh Formalism.

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Edward Witten Topological Field Theory and Order on the ArXiv

by Tommy on 9/11/2015
WMAP CMB Universe Timeline Standard Model

WMAP CMB Universe Timeline Standard Model

I haven’t read a high energy physics or cosmology paper in years, having sworn it off way back in the early QCD days of the particle zoo. In fact, I wasn’t even a big fan of the funding of the big machines, and I was thrilled back in the days when the SSC and the SST both got cancelled. And I wish we would get back into the big program cancellation business again, now that I think about it. But I did attend the meetings just to hear the battles. And the Europeans picked up the SLAC over the years and now we are at this inflection point again over this single particle. Or perhaps a zoo of them. The infamous axion and dark matter. DM. I just did another project with the initials DM. Deimos Mission. Deimos, even. I hate these kinds of distractions, they intrude into your nicely categorized and isolated domains and announce their existence, and the next thing you know you are flying off on a tangent ejected from the solar system to roam the cold darkness of deep space for a good long time anyways. Or condensed into a cold superfluid.

So I take some time off from all of my personal relationships and most of my outdoor ‘fall is here winter is coming get your ass in gear work’, and plow through it, muddle through it is a better characterization, until I arrive again at the beginning again, which is, of course, Edward Witten.

And he’s on the ArXiv, as I just noticed. And he just wrote a primer in the November issue of Physics Today. And he has a couple of other recent papers as well. And searching though the cite analytics I am finally led to a wiki entry on topological order which has a nice chronological history and all the references you will ever need on this. I don’t have the time to list them all here because I have to get outside now and prepare for winter. You should know how to find this stuff. Use a search engine to find yourself a search engine. Or go out and pound the pavement. I quit doing that because going into downtown always creates problems and the whole point of this post is that I don’t even need to anymore. Most of it is open and freely available on the intertubz.

And why is this important? Because apparently at first glance quantum topological orders and ordinary superconductivity and superfluidity can be coupled to gravitoelectromagnetism through the dynamical fluctuating axion fields (or axion winds, although you should be able to create your own fluctuating axion fields easily, just wave your arms and hands), IN THE LABORATORY!!!

Note the awesome all caps and the multiple exclamation points. Obviously I’m a genius.

And out of this presumably (eventually, hopefully, maybe) we can produce instant antigravity and unlimited free zero point energy by drawing on deep spacetime string theory and the low entropy early universe. That’s right, this is crackpot heaven, folks. So I’m dropping this like a hot potato and going outside to dig some potatoes. But certainly it’s worth commenting on. So here it is.

Crank up your magnets, ladies and gentlemen. The future has arrived.

Beware of cranks, cracks and potholes.

They’re everywhere.

So crank on!

I’m done.

Update: I’ve dubbed this ‘The Russell Effect’, for Russell Seitz.

Now I’m going to go out and rustle me up some axions.

I’ve already got a rash and blisters from it.

Update 2: Monoidal Categories.

That figures.

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Everything You Ever Wanted To Know About Axion Cosmology

by Tommy on 8/11/2015

Axion Cosmology, David J. E. Marsh (26 October 2015)

Axions comprise a broad class of particles that can play a major role in explaining the unknown aspects of cosmology. They are also extraordinarily well-motivated within high energy physics, and so axion cosmology offers us a unique view onto these theories. I present a comprehensive and pedagogical view on the cosmology and astrophysics of axion-like particles, starting from inflation and progressing via the CMB and structure formation up to the present-day Universe. I briefly review the motivation and models for axions in particle physics and string theory. The primary focus is on the population of ultralight axions created via vacuum realignment, and its role as a dark matter (DM) candidate with distinctive phenomenology. Cosmological observations place robust constraints on the axion mass and relic density in this scenario, and I review where such constraints come from. I next cover aspects of galaxy formation with axion DM, and ways this can be used to further search for evidence of axions. An absolute lower bound on DM particle mass is established. It is ma > 10−24 eV from linear observables, extending to ma ≳ 10−22 eV from non-linear observables, and has the potential to reach ma ≳ 10−18 eV in the future. I then spend some time discussing direct and indirect detection of axions, reviewing existing and future experiments. Miscellaneous additional topics covered include: axions as dark radiation, and axions as dark energy; decays of heavy axions; axions and stellar astrophysics; black hole superradiance; axions and astrophysical magnetic fields; axion inflation, and axion DM as an indirect probe of inflation.

I detect a bit of author bias here, but other than that … enjoy.

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High Pressure Hydrogen Nitrogen Polymer Formation Studied

by Tommy on 8/11/2015

Nitrogen Backbone Oligomers, Hongbo Wang, Mikhail I. Eremets, Ivan Troyan, Hanyu Liu, Yanming Ma and Luc Vereecken, Scientific Reports 5, Article number: 13239 (19 Auguest 2015)

We found that nitrogen and hydrogen directly react at room temperature and pressures of ~35 GPa forming chains of single-bonded nitrogen atom with the rest of the bonds terminated with hydrogen atoms – as identified by IR absorption, Raman, X-ray diffraction experiments and theoretical calculations. At releasing pressures below ~10 GPa, the product transforms into hydrazine. Our findings might open a way for the practical synthesis of these extremely high energetic materials as the formation of nitrogen-hydrogen compounds is favorable already at pressures above 2 GPa according to the calculations.

This is entirely new and novel. You just gotta love these guys.

I can’t wait until they load some liquid bismuthine into their diamond anvil cell.

See also:

Sodium Pentazolate: a Nitrogen Rich High Energy Density Material, Brad A. Steele and Ivan I. Oleynik (5 November 2015)

Sodium pentazolates NaN5 and Na2N5, new high energy density materials, are discovered during first principles crystal structure search for the compounds of varying amounts of elemental sodium and nitrogen. The pentazole anion N5 is stabilized in the condensed phase by sodium Na+ cations at pressures exceeding 20 GPa, and becomes metastable upon release of pressure. The sodium azide (NaN3) precursor is predicted to undergo a chemical transformation above 50 GPa into sodium pentazolates NaN5 and Na2N5. The calculated Raman spectrum of NaN5 is in agreement with the experimental Raman spectrum of a previously unidentified substance appearing upon compression and heating of NaN3.

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Refractory Metal Halides – A New Class of Quantum Materials

by Tommy on 8/11/2015

New Family of Quantum Spin Hall Insulators in Two-dimensional Transition-Metal Halide with Large Nontrivial Band Gaps, Liujiang Zhou, Liangzhi Kou, Yan Sun, Claudia Felser, Feiming Hu, Guangcun Shan, Sean C. Smith, Binghai Yan and Thomas Frauenheim (21 October 2015)

Topological insulators (TIs) are promising for achieving dissipationless transport devices due to the robust gapless states inside the insulating bulk gap. However, currently realized 2D TIs, quantum spin Hall (QSH) insulators, suffer from ultra-high vacuum and extremely low temperature. Thus, seeking for desirable QSH insulators with high feasibility of experimental preparation and large nontrivial gap is of great importance for wide applications in spintronics. Based on the first-principles calculations, we predict a novel family of two-dimensional (2D) QSH insulators in transition-metal halide MX (M = Zr, Hf; X = Cl, Br, and I) monolayers with large nontrivial gaps of 0.12−0.4 eV, comparable with bismuth (111) bilayer (0.2 eV), stanene (0.3 eV) and larger than ZrTe5 (0.1 eV) monolayers and graphene-based sandwiched heterstructures (30−70 meV). Their corresponding 3D bulk materials are weak topological insulators from stacking QSH layers, and some of bulk compounds have already been synthesized in experiment. The mechanism for 2D QSH effect in this system originates from a novel d−d band inversion, which is different from conventional band inversion between s−s orbitals, or p−p orbitals. The realization of pure layered MX monolayers may be prepared by exfoliation from their 3D bulk phases, thus holding great promise for nanoscale device applications and stimulating further efforts on transition metal-based QSH materials.

Every day it’s something new.

See also:

New Family of Robust 2D Topological Insulators in van der Waals Heterostructures, Liangzhi Kou, Shu-Chun Wu, Claudia Felser, Thomas Frauenheim, Changfeng Chen and Binghai Yan, ACS Nano, 8, 10448 (16 September 2014), DOI:10.1021/nn503789v

We predict a new family of robust two-dimensional (2D) topological insulators in van der Waals heterostructures comprising graphene and chalcogenides BiTeX (X=Cl, Br and I). The layered structures of both constituent materials produce a naturally smooth interface that is conducive to proximity induced new topological states. First principles calculations reveal intrinsic topologically nontrivial bulk energy gaps as large as 70-80 meV, which can be further enhanced up to 120 meV by compression. The strong spin-orbit coupling in BiTeX has a significant influence on the graphene Dirac states, resulting in the topologically nontrivial band structure, which is confirmed by calculated nontrivial Z2 index and an explicit demonstration of metallic edge states. Such heterostructures offer an unique Dirac transport system that combines the 2D Dirac states from graphene and 1D Dirac edge states from the topological insulator, and it offers new ideas for innovative device designs.

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The Topological Axion PhD Thesis of Ken Shiozaki at Kyoto

by Tommy on 8/11/2015

Download PDF

Topological insulators and superconductors: classification of topological crystalline phases and axion phenomena, Ken Shiozaki, PhD Thesis, Kyoto University, Kyoto, Japan (23 March 2015)

This thesis presents two topics of topological insulators and superconductors. One is a classification of topological crystalline insulators and superconductors which are topological phases protected by space group symmetries. Another topic is a study of axion phenomena in topological phases.

See also:

Dynamical Axion in Topological Superconductors and Superfluids, Ken Shiozaki and Satoshi Fujimoto, Phys. Rev. B 89, 054506 (14 February 2014), DOI:10.1103/PhysRevB.89.054506

We consider dynamical axion phenomena in topological superconductors and superfluids in three spatial dimensions in terms of the gravitoelectromagnetic topological action, in which the axion field couples with mechanical rotation under finite temperature gradient. The dynamical axion is induced by relative phase fluctuations between topological and s-wave superconducting orders. We show that an antisymmetric spin-orbit interaction which induces parity-mixing of Cooper pairs enlarges the parameter region in which the dynamical axion fluctuation appears as a low-energy excitation. We propose that the dynamical axion increases the moment of inertia, and in the case of ac mechanical rotation, i.e. a shaking motion with a finite frequency ω, as ω approaches the dynamical axion fluctuation mass, the observation of this effect becomes feasible.

It appears now that the detection by coupling to a dynamical axion field is in principle possible.

Axions are, in principle, observable. I think you stir them up with space time fluctuating masses. There are plenty of them around. Wave your arms wildly, you are stirring up some local axions.

Combine that with an electromagnetic field and there you go. Anti-gravity. Energy conversion.

I predict crackpots and crank magnets in the very near future.

See also again:

Topological Defects and Gapless Modes in Insulators and Superconductors, Jeffrey C.Y. Teo and C.L. Kane, Phys. Rev. B82, 115120 (22 September 2010), DOI:10.1103/PhysRevB.82.115120

We develop a unified framework to classify topological defects in insulators and superconductors described by spatially modulated Bloch and Bogoliubov de Gennes Hamiltonians. We consider Hamiltonians H(k,r) that vary slowly with adiabatic parameters r surrounding the defect and belong to any of the ten symmetry classes defined by time reversal symmetry and particle-hole symmetry. The topological classes for such defects are identified, and explicit formulas for the topological invariants are presented. We introduce a generalization of the bulk-boundary correspondence that relates the topological classes to defect Hamiltonians to the presence of protected gapless modes at the defect. Many examples of line and point defects in three dimensional systems will be discussed. These can host one dimensional chiral Dirac fermions, helical Dirac fermions, chiral Majorana fermions and helical Majorana fermions, as well as zero dimensional chiral and Majorana zero modes. This approach can also be used to classify temporal pumping cycles, such as the Thouless charge pump, as well as a fermion parity pump, which is related to the Ising non-Abelian statistics of defects that support Majorana zero modes.

That should keep you busy. K-Theory. You just never know about math.

Update: Monoidal Categories! Who knew.

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3D Magnetic Field Dependent Charge Density Wave (CDW) Found in the Cuprates

by Tommy on 7/11/2015

Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields, S. Gerber, H. Jang, H. Nojiri, S. Matsuzawa, H. Yasumura, D. A. Bonn, R. Liang, W. N. Hardy, Z. Islam, A. Mehta, S. Song, M. Sikorski, D. Stefanescu, Y. Feng, S. A. Kivelson, T. P. Devereaux, Z.-X. Shen, C.-C. Kao, W.-S. Lee, D. Zhu, and J.-S. Lee, Science (5 November 2015), DOI:10.1126/science.aac6257

Charge density wave (CDW) correlations have been shown to universally exist in cuprate superconductors. However, their nature at high fields inferred from nuclear magnetic resonance is distinct from that measured by x-ray scattering at zero and low fields. Here we combine a pulsed magnet with an x-ray free electron laser to characterize the CDW in YBa2Cu3O6.67 via x-ray scattering in fields up to 28 Tesla. While the zero-field CDW order, which develops below T ~ 150 K, is essentially two-dimensional, at lower temperature and beyond 15 Tesla, another three-dimensionally ordered CDW emerges. The field-induced CDW appears around the zero-field superconducting transition temperature; in contrast, the incommensurate in-plane ordering vector is field-independent. This implies that the two forms of CDW and high-temperature superconductivity are intimately linked.

This paper is already getting a lot of press from its press release. I don’t quite understand how they have arrived at their conclusions, since I have not yet read the paper, but it’s nice to see the use of the free electron laser in there.

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High Resolution Radar Images of Comet Asteroid 2015 TB145

by Tommy on 4/11/2015
Cometary Asteroid 2015 TB 145

Cometary Asteroid 2015 TB 145

Thunderbirds Are Go!

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Pseudo Gap Phase is the Parent of the Charge Density Wave

by Tommy on 3/11/2015
Cuprate Pseudo Gap Charge Density Wave

Cuprate Pseudo Gap Charge Density Wave

Brookhaven National Laboratory Press Release

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state, M. H. Hamidian, S. D. Edkins, Chung Koo Kim, J. C. Davis, A. P. Mackenzie, H. Eisaki, S. Uchida, M. J. Lawler, E.-A. Kim, S. Sachdev and K. Fujita, Nature Physics (26 October 2015), doi:10.1038/nphys3519

Research on high-temperature superconducting cuprates is at present focused on identifying the relationship between the classic ‘pseudogap’ phenomenon and the more recently investigated density wave state. This state is generally characterized by a wavevector Q parallel to the planar Cu–O–Cu bonds along with a predominantly d-symmetry form factor (dFF-DW). To identify the microscopic mechanism giving rise to this state, one must identify the momentum-space states contributing to the dFF-DW spectral weight, determine their particle–hole phase relationship about the Fermi energy, establish whether they exhibit a characteristic energy gap, and understand the evolution of all these phenomena throughout the phase diagram. Here we use energy-resolved sublattice visualization of electronic structure and reveal that the characteristic energy of the dFF-DW modulations is actually the ‘pseudogap’ energy Δ1. Moreover, we demonstrate that the dFF-DW modulations at E  =  −Δ1 (filled states) occur with relative phase π compared to those at E  =  Δ1 (empty states). Finally, we show that the conventionally defined dFF-DW Q corresponds to scattering between the ‘hot frontier’ regions of momentum-space beyond which Bogoliubov quasiparticles cease to exist. These data indicate that the cuprate dFF-DW state involves particle–hole interactions focused at the pseudogap energy scale and between the four pairs of ‘hot frontier’ regions in momentum space where the pseudogap opens.

Ok. So far so good. Now what?

Excitons, anyone?

Update: Every time I reach a new point like this I think – ‘What would Philip W. Phillips do?’

Personally I think that if quantum critical points are involved the quantum weirdness would show up in the broad mid-infrared band, as we are seeing. What we are seeing are just the simplest possible low energy, low temperature results coming out of all of that quantum self ordering.

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Deimos Mission – Vertical Cylindrical Cased Tunnel Shafts – Excavations for Solar and Cosmic Galactic Radiation Protection

by Tommy on 2/11/2015


Deimos Mission – Vertical Cylindrical Cased Tunnel Shaft Excavations
For Solar and Galactic Cosmic Radiation Protection

In another recent essay, I have described in moderate detail the value and procedures for establishing a continuous human presence on the Martian moons Phobos and Deimos, as complementary precursor efforts for the permanent development and colonization of the surface of the planet Mars. The orbital geometries and masses of the moons are leveraged to produce a quick and easy method of solar energy asset deployment and electrical power distribution across the entire surfaces of both of these moons. In this manner electrical energy may be transmitted from the illuminated areas on the moons, to areas that are not currently illuminated, including under the surfaces and in the interiors of the moons. This essay will expand upon one specific aspect of this Martian Moon development and colonization effort, that of providing the immediate capabilities to excavate and case deep vertical cylindrical mining tunnel shafts directly under a landed Deimos Colonial Transport spacecraft, on the very first mission to these moons. Such a construction can then provide massive and immediate shielding against solar proton events and galactic cosmic radiation, the single most urgent problem confronting large scale space development. The excavating design process and the resulting hardware is universally applicable to asteroid mining.

This will be a couple of pages. You can follow it as I write it, but the work on this is already done.

This will be next year’s NIAC submission I guess.

Deimos Surface Viking 2

Deimos Surface Viking 2

See also: Phobos and Deimos – Living on the Moons of Mars

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