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Weyl semimetals are a topological phase of matter that have drawn recent interest and have been suggested as a possible phase of the pyrochlore irridates, among other materials. Here, we compute the magneto-optical response of an isolated…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 Phillip E. C. Ashby , J. P. Carbotte

Weyl fermions in an external magnetic field exhibit the chiral anomaly, a non-conservation of chiral fermions. In a Weyl semimetal, a spatially inhomogeneous Weyl node separation causes similar effect by creating an intrinsic…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 Dmitry I. Pikulin , Roni Ilan

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski

Weyl semimetals are materials where electrons behave effectively as a kind of massless relativistic particles known asWeyl fermions. These particles occur in two flavours, or chiralities, and are subject to quantum anomalies, the breaking…

We investigate the nature of the magnetic phase transition induced by the short-ranged electron-electron interactions in a Weyl semimetal by using the perturbative renormalization-group method. We find that the critical point associated…

Strongly Correlated Electrons · Physics 2017-07-19 Yu-Li Lee , Yu-Wen Lee

The thermoelectric properties of conductors with low electron density can be altered significantly by an applied magnetic field. For example, recent work has shown that Dirac/Weyl semimetals with a single pocket of carriers can exhibit a…

Mesoscale and Nanoscale Physics · Physics 2021-02-08 Xiaozhou Feng , Brian Skinner

Chiral magnetic effect is a quantum phenomenon that is breaking of chiral symmetry of relativistic Weyl fermions by quantum fluctuation under paralleled electric field E and magnetic field B. Intuitively, Weyl fermions with different…

Materials Science · Physics 2018-05-28 Yang-Yang Lv , Xiao Li , Bin Pang , Y. B. Chen , Shu-Hua Yao , Jian Zhou , Yan-Feng Chen

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf

We explore the thermoelectric transport properties of a coexistence topological semimetal, characterized by the presence of both a pair of Weyl points and a nodal ring in the quantum limit. This system gives rise to complex Landau bands…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 L. W. Guo , C. M. Wang

The semiclassical transport theory is especially powerful for investigating galvanomagnetic effects. Generally, the semiclassical theory is applicable only in weak fields because it does not consider Landau quantization. Herein, we extend…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Akiyoshi Yamada , Yuki Fuseya

Using the Feynman diagram techniques, we derive the finite-temperature conductivity and magnetoconductivity formulas from the quantum interference and electron-electron interaction, for a three-dimensional disordered Weyl semimetal. For a…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Hai-Zhou Lu , Shun-Qing Shen

It has recently been found that Dirac and Weyl metals are characterized by an unusual weak-field longitudinal magnetoresistance: large, negative, and quadratic in the magnetic field. This has been shown to arise from chiral anomaly, i.e.…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 A. A. Burkov

We present a theory of thermoelectric transport in weakly disordered Weyl semimetals where the electron-electron scattering time is faster than the electron-impurity scattering time. Our hydrodynamic theory consists of relativistic fluids…

Strongly Correlated Electrons · Physics 2016-08-31 Andrew Lucas , Richard A. Davison , Subir Sachdev

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

TaRhTe$_4$ is a type-IIWeyl semimetal, exhibiting fourWeyl points in proximity to the Fermi level. In this article, we report our results of a systematic study of longitudinal magnetoresistance in TaRhTe$_4$. Our findings indicate that…

Quantum field theory predicts Weyl semimetals to possess a peculiar response of the longitudinal current density to the application of a DC magnetic field. Such a response function has been shown to be at odds with a general result showing…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yahya Alavirad , Jay D. Sau

The surface states of certain topological phases can be linked to a quantum anomaly: the violation of a classical symmetry by a field theory via a non-conserved current. This has been generalized to the case of a non-Hermitian (NH) chiral…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Shuxin Lin , Rimi Banerjee , Zheyu Cheng , Kohei Kawabata , Baile Zhang , Y. D. Chong

We show several distinct signatures in the magneto-response of type-II Weyl semimetals. The energy tilt tends to squeeze the Landau levels (LLs), and for a type-II Weyl node, there always exists a critical angle between the B-fileld and the…

Mesoscale and Nanoscale Physics · Physics 2016-08-22 Zhi-Ming Yu , Yugui Yao , Shengyuan A. Yang

We consider the role of coordinate dependent tetrads ("Fermi velocities"), momentum space geometry, and torsional Landau levels (LLs) in condensed matter systems with low-energy Weyl quasiparticles. In contrast to their relativistic…

Strongly Correlated Electrons · Physics 2021-01-04 Sara Laurila , Jaakko Nissinen

Dirac and Weyl semimetals form an ideal platform for testing ideas developed in high energy physics to describe massless relativistic particles. One such quintessentially field-theoretic idea of chiral anomaly already resulted in the…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 D. I. Pikulin , Anffany Chen , M. Franz