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The nodal points in a Weyl semimetal are generally considered as the causes of the chiral anomaly and the chiral magnetic effect (CME). Employing a linear-response analysis of a two-band lattice model, we show that the Weyl nodes and thus…

介观与纳米尺度物理 · 物理学 2015-11-10 Ming-Che Chang , Min-Fong Yang

Weyl semimetals are a three-dimensional topological phase of matter with isolated band touchings in the Brillouin Zone. These points have an associated chirality, and many of the proposals to detect the Weyl semimetal state rely on the…

介观与纳米尺度物理 · 物理学 2014-07-11 Phillip E. C. Ashby , J. P. Carbotte

Berry phase plays an important role in many non-trivial phenomena over a broad range of many-body systems. In this thesis we focus on the Berry phase due to the change of the particles' momenta, and study its effects in free and interacting…

介观与纳米尺度物理 · 物理学 2017-06-12 Jing-Yuan Chen

We consider the classical magnetoresistance of a Weyl metal in which the electron Fermi surface possess nonzero fluxes of the Berry curvature. Such a system may exhibit large negative magnetoresistance with unusual anisotropy as a function…

介观与纳米尺度物理 · 物理学 2015-03-06 D. T. Son , B. Z. Spivak

Quantum anomalies are the breaking of a classical symmetry by quantum fluctuations. They dictate how physical systems of diverse nature, ranging from fundamental particles to crystalline materials, respond topologically to external…

介观与纳米尺度物理 · 物理学 2016-02-12 Jan Behrends , Adolfo G. Grushin , Teemu Ojanen , Jens H. Bardarson

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

Recently, the existence of massless chiral (Weyl) fermions has been postulated in a class of semi-metals with a non-trivial energy dispersion.These materials are now commonly dubbed Weyl semi-metals (WSM).One predicted property of Weyl…

The discovery of a chiral anomaly in Weyl semimetals, the non-conservation of chiral charge and energy across two opposite chirality Weyl nodes, has sparked immense interest in understanding its impact on various physical phenomena. Here,…

介观与纳米尺度物理 · 物理学 2023-07-19 Sunit Das , Kamal Das , Amit Agarwal

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

强关联电子 · 物理学 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

介观与纳米尺度物理 · 物理学 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

Landau's Fermi-liquid theory is the standard model for metals, characterized by the existence of electron quasiparticles near a Fermi surface as long as Landau's interaction parameters lie below critical values for instabilities. Recently,…

介观与纳米尺度物理 · 物理学 2014-11-27 Ki-Seok Kim , Heon-Jung Kim , M. Sasaki , J. -F. Wang , L. Li

Weyl semimetals are one kind of three-dimensional gapless semimetal with nontrivial topology in the momentum space. The chiral anomaly in Weyl semimetals manifests as a charge imbalance between the Weyl nodes of opposite chiralities induced…

强关联电子 · 物理学 2015-01-19 Jianhui Zhou , Hao-Ran Chang , Di Xiao

We consider the chiral anomaly for systems with a wide class of Hermitian Dirac operators ${Q}$ in 4D Euclidean spacetime. We suppose that $ Q$ is not necessarily linear in derivatives and also that it contains a coordinate inhomogeneity…

高能物理 - 理论 · 物理学 2025-11-26 Praveen D. Xavier , M. A. Zubkov

The condensed-matter version of the chiral anomaly describes how electrons are pumped from a Weyl node with negative chirality to a Weyl node with positive chirality using parallel electric and magnetic fields. Key experimental signatures…

介观与纳米尺度物理 · 物理学 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

We present a general quantum kinetic theory of low-field magnetotransport in weakly disordered crystals that accounts fully for the interplay between electric-field induced interband coherence, Bloch-state scattering, and an external…

介观与纳米尺度物理 · 物理学 2017-12-25 Akihiko Sekine , Dimitrie Culcer , Allan H. MacDonald

We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and is precisely the axial anomaly. Explicit…

高能物理 - 格点 · 物理学 2007-05-23 H. Banerjee , Asit K. De

Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can…

高能物理 - 格点 · 物理学 2008-11-26 Martin Lüscher

Weyl semimetals are three-dimensional crystalline systems where pairs of bands touch at points in momentum space, termed Weyl nodes, that are characterized by a definite topological charge: the chirality. Consequently, they exhibit the…

强关联电子 · 物理学 2015-10-05 S. A. Parameswaran , T. Grover , D. A. Abanin , D. A. Pesin , A. Vishwanath

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…

Weyl semimetals are a three dimensional topological phase of matter with linearly dispersed Weyl points which appear in pairs and carry opposite chirality. The separation of paired Weyl points allows charge transfer between them in the…

介观与纳米尺度物理 · 物理学 2019-01-08 Salah Uddin , Wenye Duan , Jun Wang , Zhongshui Ma , Jun-Feng Liu