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We investigate the interplay of chiral anomaly and dissipation in one - dimensional Dirac semimetal. For definiteness we consider the Su Schrieffer Heeger (SSH) model, which on the language of lattice field theory represents 1 D Wilson…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Mustafa Bohra , 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…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

The last decade has witnessed great advancements in the science and engineering of systems with unconventional band structures, seeded by studies of graphene and topological insulators. While the band structure of graphene simulates…

Strongly Correlated Electrons · Physics 2013-12-09 Pavan Hosur , Xiaoliang Qi

We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

In Weyl semimetals the application of parallel electric and magnetic fields leads to valley polarization -- an occupation disbalance of valleys of opposite chirality -- a direct consequence of the chiral anomaly. In this work, we present…

Mesoscale and Nanoscale Physics · Physics 2021-09-02 Pablo M. Perez-Piskunow , Nicandro Bovenzi , Anton R. Akhmerov , Maxim Breitkreiz

We review recent theoretical and experimental developments in magnetic Weyl semimetals, focusing on the electromagnetic responses emerging from the interplay of their electronic band topology and magnetism. We begin by introducing the…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Akihiro Ozawa , Yasufumi Araki , Koji Kobayashi , Kentaro Nomura

Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel…

High Energy Physics - Theory · Physics 2014-01-30 Gokce Basar , Dmitri E. Kharzeev , Ho-Ung Yee

We show how the axial (chiral) anomaly induces a spin torque on the magnetization in magnetic Weyl semimetals. The anomaly produces an imbalance in left- and right-handed chirality carriers when non-orthogonal electric and magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2021-05-27 Julia D. Hannukainen , Alberto Cortijo , Jens H. Bardarson , Yago Ferreiros

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

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

Based on the supersymmetric quantum mechanical approach, we have systematically studied both the $U\left(1\right)$ gauge anomaly and the diffeomorphism anomaly in Weyl systems with torsion, curvature and external electromagnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Ze-Min Huang , Bo Han

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…

Mesoscale and Nanoscale Physics · Physics 2014-07-11 Phillip E. C. Ashby , J. P. Carbotte

The chiral anomaly, a hallmark of chiral spin-1/2 Weyl fermions, is an imbalance between left- and right-moving particles that underpins both high and low energy phenomena, including particle decay and negative longitudinal…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 F. Balduini , A. Molinari , L. Rocchino , V. Hasse , C. Felser , M. Sousa , C. Zota , H. Schmid , A. G. Grushin , B. Gotsmann

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

Topological semimetals are three-dimensional topological states of matter, in which the conduction and valence bands touch at a finite number of points, i.e., the Weyl nodes. Topological semimetals host paired monopoles and antimonopoles of…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 Hai-Zhou Lu , Shun-Qing Shen

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Alexander Altland , Dmitry Bagrets

Weyl fermions are one of the simplest objects that link ideas in geometry and topology to highenergy physics and condensed matter physics. Although the existence of Weyl fermions as elementary particles remains dubious, there is mounting…

Mesoscale and Nanoscale Physics · Physics 2024-06-05 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Chiral pumping from optical electric fields oscillating at THz frequencies is observed in the Weyl material TaAs with electric and magnetic fields aligned along both the a- and c-axes. Free carrier spectral weight enhancement is measured…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Antonio L. Levy , Andrei B. Sushkov , Fengguang Liu , Bing Shen , Ni Ni , Howard D. Drew , Gregory S. Jenkins

Topological semimetals have recently attracted great attention due to prospective applications governed by their peculiar Fermi surfaces. Weyl semimetals host chiral fermions that manifest as pairs of non-degenerate massless Weyl points in…

Emergent Lorentz symmetry and chiral anomaly are well known to play an essential role in anomalous transport phenomena of Weyl metals. In particular, the former causes a Berry-curvature induced orbital magnetic moment to modify the group…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Jinho Yang , Ki-seok Kim