Electronic and Transport Properties of Weyl Semimetals
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DFT Quantization of the Gibbs Free Energy of a Quantum Body
DFT quantization of the Gibbs Free Energy of a quantum body S. Selenu (Dated: December 2, 2020) In this article it is introduced a theoretical model made in order to perform calculations of the quantum heat of a body that could be acquired or delivered during a thermal transformation of its quantum states. Here the model is mainly targeted to the electronic structure of matter[1] at the nano and micro scale where DFT models have been frequently developed of the total energy of quantum systems. De fining an Entropy functional S[ρ] makes us able optimizing a free energy G[ρ] of the quantum system at finite temperatures. Due to the generality of the model, the latter can be also applied to several first principles computational codes where ab initio modelling of quantum matter is asked. INTRODUCTION thermal transformations at a fi nite temperature T . This work could then be consid- This article will be focused on a study based on the ered as the begining part of a more general theory can derivation of the quantum electrical heat absorbed or ei- include an ab initio modelling of the first law and second ther released by a physical system made of atoms and law of thermodynamics[13], where heat and free energy electrons either at the nano or at the microscopic scale, variations of a quantum body are taken into account. In extending to it the concept of thermal heat within a DFT fact it is actually considered a quantum system of elec- model. Also, the latter being fundamental in physics, can trons at a given temperature T in thermal equilibrium be employed for a full understanding of the thermal phase with its surrounding. -
Resonance As a Measure of Pairing Correlations in the High-Tc
letters to nature ................................................................. lost while magnetic (spin) ¯uctuations centred at the x =0 6±11 Resonance as a measure of pairing antiferromagnetic Bragg positionsÐoften referred to as Q0 = (p, p)±persist. For highly doped (123)O6+x, the most prominent feature in the spin ¯uctuation spectrum is a sharp resonance that correlations in the high-Tc appears below Tc at an energy of 41 meV (refs 6±8). When scanned superconductor YBa Cu O at ®xed frequency as a function of wavevector, the sharp peak is 2 3 6.6 centred at (p, p) (refs 6±8) and its intensity is unaffected by a 11.5- 19 Pengcheng Dai*, H. A. Mook*, G. Aeppli², S. M. Hayden³ & F. DogÏan§ T ®eld in the ab-plane . In our underdoped (123)O6.6 (Tc = 62.7 K)9, the resonance occurs at 34 meV and is superposed on a * Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6393, USA continuum which is gapped at low energies11. For frequencies below ² NEC Research Institute, Princeton, New Jersey 08540, USA ³ H. H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, UK § Department of Materials Science and Engineering, University of Washington, Seattle, Washington 98195, USA B rotated 20.6° from the c-axis B along the [3H,-H,0] direction 2.0 2.0 .............................................................................................................................................. a d [H,3H,0] One of the most striking properties of the high-transition-tem- 1.5 1.5 perature (high-Tc) superconductors is that they are all derived [H, (5-H)/3, 0] from insulating antiferromagnetic parent compounds. The inti- 1.0 B ∼ i c-axis 1.0 B i ab-plane mate relationship between magnetism and superconductivity in these copper oxide materials has intrigued researchers from the [0,K,0] (r.l.u.) [0,K,0] (r.l.u.) 0.5 0.5 outset1±4, because it does not exist in conventional superconduc- 20.6° tors. -
A Simple Method to Estimate Entropy and Free Energy of Atmospheric Gases from Their Action
Article A Simple Method to Estimate Entropy and Free Energy of Atmospheric Gases from Their Action Ivan Kennedy 1,2,*, Harold Geering 2, Michael Rose 3 and Angus Crossan 2 1 Sydney Institute of Agriculture, University of Sydney, NSW 2006, Australia 2 QuickTest Technologies, PO Box 6285 North Ryde, NSW 2113, Australia; [email protected] (H.G.); [email protected] (A.C.) 3 NSW Department of Primary Industries, Wollongbar NSW 2447, Australia; [email protected] * Correspondence: [email protected]; Tel.: + 61-4-0794-9622 Received: 23 March 2019; Accepted: 26 April 2019; Published: 1 May 2019 Abstract: A convenient practical model for accurately estimating the total entropy (ΣSi) of atmospheric gases based on physical action is proposed. This realistic approach is fully consistent with statistical mechanics, but reinterprets its partition functions as measures of translational, rotational, and vibrational action or quantum states, to estimate the entropy. With all kinds of molecular action expressed as logarithmic functions, the total heat required for warming a chemical system from 0 K (ΣSiT) to a given temperature and pressure can be computed, yielding results identical with published experimental third law values of entropy. All thermodynamic properties of gases including entropy, enthalpy, Gibbs energy, and Helmholtz energy are directly estimated using simple algorithms based on simple molecular and physical properties, without resource to tables of standard values; both free energies are measures of quantum field states and of minimal statistical degeneracy, decreasing with temperature and declining density. We propose that this more realistic approach has heuristic value for thermodynamic computation of atmospheric profiles, based on steady state heat flows equilibrating with gravity. -
Holographic Topological Semimetals Arxiv:1911.07978V1 [Hep-Th]
Holographic Topological Semimetals Karl Landsteiner Instituto de Física Teórica UAM/CSIC, C/ Nicolás Cabrera 13-15, Campus Cantoblanco, 28049, Spain E-mail: [email protected] Yan Liu Center for Gravitational Physics, Department of Space Science, Beihang University, Beijing 100191, China Key Laboratory of Space Environment Monitoring and Information Processing, Ministry of Industry and Information Technology, Beijing, China E-mail: [email protected] Ya-Wen Sun School of physics & CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100049, China Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China E-mail: [email protected] Abstract The holographic duality allows to construct and study models of strongly cou- pled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planck- ian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to arXiv:1911.07978v1 [hep-th] 18 Nov 2019 trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, -
Hear the Sound of Weyl Fermions
PHYSICAL REVIEW X 9, 021053 (2019) Featured in Physics Hear the Sound of Weyl Fermions Zhida Song1,2 and Xi Dai1,* 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA (Received 4 February 2019; revised manuscript received 10 April 2019; published 17 June 2019) Quasiparticles and collective modes are two fundamental aspects that characterize quantum matter in addition to its ground-state features. For example, the low-energy physics for Fermi-liquid phase in He-III is featured not only by fermionic quasiparticles near the chemical potential but also by fruitful collective modes in the long-wave limit, including several different sound waves that can propagate through it under different circumstances. On the other hand, it is very difficult for sound waves to be carried by electron liquid in ordinary metals due to the fact that long-range Coulomb interaction among electrons will generate a plasmon gap for ordinary electron density oscillation and thus prohibits the propagation of sound waves through it. In the present paper, we propose a unique type of acoustic collective mode in Weyl semimetals under magnetic field called chiral zero sound. Chiral zero sound can be stabilized under the so-called “chiral limit,” where the intravalley scattering time is much shorter than the intervalley one and propagates only along an external magnetic field for Weyl semimetals with multiple pairs of Weyl points. The sound velocity of chiral zero sound is proportional to the field strength in the weak field limit, whereas it oscillates dramatically in the strong field limit, generating an entirely new mechanism for quantum oscillations through the dynamics of neutral bosonic excitation, which may manifest itself in the thermal conductivity measurements under magnetic field. -
Arxiv:2008.10628V3 [Cond-Mat.Str-El] 14 Jan 2021
Prediction of Spin Polarized Fermi Arcs in Quasiparticle Interference of CeBi Zhao Huang,1 Christopher Lane,1, 2 Chao Cao,3 Guo-Xiang Zhi,4 Yu Liu,5 Christian E. Matt,5 Brinda Kuthanazhi,6, 7 Paul C. Canfield,6, 7 Dmitry Yarotski,2 A. J. Taylor,2 and Jian-Xin Zhu1, 2, * 1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA 2Center for Integrated Nanotechnology, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA 3Department of Physics, Hangzhou Normal University, Hangzhou 310036, China 4Department of Physics, Zhejiang University, Hangzhou 310013, China 5Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 6Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA 7Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA (Dated: January 15, 2021) We predict that CeBi in the ferromagnetic state is a Weyl semimetal. Our calculations within density func- tional theory show the existence of two pairs of Weyl nodes on the momentum path (0,0,kz) at 15 meV above and 100 meV below the Fermi level. Two corresponding Fermi arcs are obtained on surfaces of mirror- symmetric (010)-oriented slabs at E = 15 meV and both arcs are interrupted into three segments due to hy- bridization with a set of trivial surface bands. By studying the spin texture of surface states, we find the two Fermi arcs are strongly spin-polarized but in opposite directions, which can be detected by spin-polarized ARPES measurements. Our theoretical study of quasiparticle interference (QPI) for a nonmagnetic impurity at the Bi site also reveals several features related to the Fermi arcs. -
Proximity to a Critical Point Driven by Electronic Entropy in Uru2si2
www.nature.com/npjquantmats ARTICLE OPEN Proximity to a critical point driven by electronic entropy in URu2Si2 ✉ Neil Harrison 1 , Satya K. Kushwaha1,2, Mun K. Chan 1 and Marcelo Jaime 1 The strongly correlated actinide metal URu2Si2 exhibits a mean field-like second order phase transition at To ≈ 17 K, yet lacks definitive signatures of a broken symmetry. Meanwhile, various experiments have also shown the electronic energy gap to closely resemble that resulting from hybridization between conduction electron and 5f-electron states. We argue here, using thermodynamic measurements, that the above seemingly incompatible observations can be jointly understood by way of proximity to an entropy-driven critical point, in which the latent heat of a valence-type electronic instability is quenched by thermal excitations across a gap, driving the transition second order. Salient features of such a transition include a robust gap spanning highly degenerate features in the electronic density of states, that is weakly (if at all) suppressed by temperature on approaching To, and an elliptical phase boundary in magnetic field and temperature that is Pauli paramagnetically limited at its critical magnetic field. npj Quantum Materials (2021) 6:24 ; https://doi.org/10.1038/s41535-021-00317-6 1234567890():,; INTRODUCTION no absolute requirement for the magnitude of a hybridization gap URu2Si2 remains of immense interest owing to the possibility to vanish at a phase transition, it need not be thermally of it exhibiting a form of order distinct from that observed -
Interaction and Temperature Effects on the Magneto-Optical Conductivity Of
Interaction and temperature effects on the magneto-optical conductivity of Weyl liquids S. Acheche, R. Nourafkan, J. Padayasi, N. Martin, and A.-M. S. Tremblay D´epartement de physique; Institut quantique; and Regroupement qu´eb´ecois sur les mat´eriauxde pointe; Universit´ede Sherbrooke; Sherbrooke; Qu´ebec; Canada J1K 2R1 (Dated: July 29, 2020) Negative magnetoresistance is one of the manifestations of the chiral anomaly in Weyl semimetals. The magneto-optical conductivity also shows transitions between Landau levels that are not spaced as in an ordinary electron gas. How are such topological properties modified by interactions and temperature? We answer this question by studying a lattice model of Weyl semimetals with an on-site Hubbard interaction. Such an interacting Weyl semimetal, dubbed as Weyl liquid, may be realized in Mn3Sn. We solve that model with single-site dynamical mean-field theory. We find that in a Weyl liquid, quasiparticles can be characterized by a quasiparticle spectral weight Z, although their lifetime increases much more rapidly as frequency approaches zero than in an ordinary Fermi liquid. The negative magnetoresistance still exists, even though the slope of the linear dependence of the DC conductivity with respect to the magnetic field is decreased by the interaction. At elevated temperatures, a Weyl liquid crosses over to bad metallic behavior where the Drude peak becomes flat and featureless. We comment on the effect of a Zeeman term. I. INTRODUCTION nodes.11,12 This is a consequence of the parabolic density of states. It has been observed in the low-temperature, low-frequency optical spectroscopy of the known Weyl Weyl semimetals are three-dimensional (3D) analogs of 13 graphene with topologically protected band crossings and semimetal TaAs. -
It's Been a Weyl Coming
CONDENSED MATTER It’s been a Weyl coming Condensed-matter physics brings us quasiparticles that behave as massless fermions. B. Andrei Bernevig “Mathematizing may well be a creative activity of man, like language or music”1 — so said Hermann Weyl, the German physicist whose penchant for mathematical elegance prompted his prediction that a new particle would arise when the fermionic mass in the Dirac equation vanished2. Such a particle could carry charge but, unlike all known fermions, would be massless. During the course of his career, Weyl actually fell out of love with his prediction, largely because it implied the breaking of a particular symmetry, known as parity, which at the time was thought to be obeyed. More to the point, no such particle was observed during his lifetime. After his death, the Weyl fermion was proposed to describe neutrinos, which are now known to have mass. For some time, it seemed that the Weyl fermion was destined to be just an abstract concept from another beautiful mind. That was until the Weyl fermion entered the realm of condensed-matter physics. For several years this field has been considered fertile ground for finding the Weyl fermion. Now, three papers in Nature Physics3–5 have cemented earlier findings6,7 to confirm the predictions8,9 of Weyl physics in a family of nonmagnetic materials with broken inversion symmetry. In condensed-matter physics, specifically in solid-state band structures, Weyl fermions appear when two electronic bands cross. The crossing point is called a Weyl node, away from which the bands disperse linearly in the lattice momentum, giving rise to a special kind of semimetal. -
Electronic Entropy Contribution to the Metal Insulator Transition in VO$ 2
Electronic entropy contribution to the metal insulator transition in VO2 The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Paras, J. and A. Allanore. "Electronic entropy contribution to the metal insulator transition in VO₂" Physical Review B 102, 16 (October 2020): 165138. © 2020 American Physical Society As Published http://dx.doi.org/10.1103/physrevb.102.165138 Publisher American Physical Society (APS) Version Final published version Citable link https://hdl.handle.net/1721.1/131098 Terms of Use Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. PHYSICAL REVIEW B 102, 165138 (2020) Electronic entropy contribution to the metal insulator transition in VO2 J. Paras and A. Allanore Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA (Received 11 June 2020; revised 31 August 2020; accepted 1 September 2020; published 21 October 2020) VO2 experiences a metal-insulator transition at 340 K. Discontinuities in electronic transport properties, such as the Seebeck coefficient and the electronic conductivity, suggest that there is a significant change in the electronic structure upon metallization. However, the thermodynamic nature of this transformation remains difficult to describe using conventional computational and experimental methods. This has led to disagreement over the relative importance of the change in electronic entropy with respect to the overall transition entropy. A method is presented that links measurable electronic transport properties to the change in electronic state entropy of conduction electrons. The change in electronic entropy is calculated to be 9.2 ± 0.7J/mol K which accounts for 62%–67% of the total transition entropy. -
Electronic Properties of Type-II Weyl Semimetal Wte2. a Review Perspective
Electronic properties of type-II Weyl semimetal WTe2. A review perspective. P. K. Das1, D. Di Sante2, F. Cilento3, C. Bigi4, D. Kopic5, D. Soranzio5, A. Sterzi3, J. A. Krieger6,7,8, I. Vobornik9, J. Fujii9, T. Okuda10, V. N. Strocov6, M. B. H. Breese1,11, F. Parmigiani3,5, G. Rossi4,9, S. Picozzi12, R. Thomale2, G. Sangiovanni2, R. J. Cava13, and G. Panaccione9,* 1Singapore Synchrotron Light Source, National University of Singapore, 5 Research Link, 117603, Singapore 2Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland Campus Süd, Würzburg 97074, Germany 3Elettra - Sincrotrone Trieste S.C.p.A., Strada Statale 14, km 163.5, Trieste 34149, Italy 4Dipartimento di Fisica, Universitá di Milano, Via Celoria 16, I-20133 Milano, Italy 5Universitá degli Studi di Trieste - Via A. Valerio 2, Trieste 34127, Italy 6Paul Scherrer Institute, Swiss Light Source, CH-5232 Villigen, Switzerland 7Laboratory for Muon Spin Spectroscopy, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland 8Laboratorium für Festkörperphysik, ETH Zürich, CH-8093 Zürich, Switzerland 9Istituto Officina dei Materiali (IOM)-CNR, Laboratorio TASC, in Area Science Park, S.S.14, Km 163.5, I- 34149 Trieste, Italy 10Hiroshima Synchrotron Radiation Center (HSRC), Hiroshima University, 2-313 Kagamiyama, Higashi- Hiroshima 739-0046, Japan. 11Department of Physics, National University of Singapore, 117576, Singapore 12Consiglio Nazionale delle Ricerche (CNR-SPIN), c/o Univ. Chieti-Pescara "G. D'Annunzio", 66100 Chieti, Italy 13Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA * Corresponding author: [email protected] Currently, there is a flurry of research interest on materials with an unconventional electronic structure, and we have already seen significant progress in their understanding and engineering towards real-life applications. -
Towards Three-Dimensional Weyl-Surfacesemimetals in Graphene Networks
See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/289587680 Towards Three-Dimensional Weyl-SurfaceSemimetals in Graphene Networks Article in Nanoscale · January 2016 DOI: 10.1039/C6NR00882H · Source: arXiv CITATIONS READS 130 175 6 authors, including: Chengyong Zhong Yuan Ping Chen Chengdu University Jiangsu University 36 PUBLICATIONS 856 CITATIONS 120 PUBLICATIONS 2,599 CITATIONS SEE PROFILE SEE PROFILE Yuee Xie Shengyuan Yang Xiangtan University Singapore University of Technology and Design 69 PUBLICATIONS 1,781 CITATIONS 280 PUBLICATIONS 7,389 CITATIONS SEE PROFILE SEE PROFILE Some of the authors of this publication are also working on these related projects: phase change materials View project A class of topological nodal rings and its realization in carbon networks View project All content following this page was uploaded by Chengyong Zhong on 19 December 2017. The user has requested enhancement of the downloaded file. Nanoscale View Article Online PAPER View Journal | View Issue Towards three-dimensional Weyl-surface semimetals in graphene networks† Cite this: Nanoscale, 2016, 8, 7232 Chengyong Zhong,a Yuanping Chen,*a Yuee Xie,*a Shengyuan A. Yang,b Marvin L. Cohenc and S. B. Zhang*d Graphene as a two-dimensional topological semimetal has attracted much attention for its outstanding properties. In contrast, three-dimensional (3D) topological semimetals of carbon are still rare. Searching for such materials with salient physics has become a new direction in carbon research. Here, using first- principles calculations and tight-binding modeling, we propose a new class of Weyl semimetals based on three types of 3D graphene networks. In the band structures of these materials, two flat Weyl surfaces appear in the Brillouin zone, which straddle the Fermi level and are robust against external strain.