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Constrained by the Nielsen-Ninomiya no-go theorem, in all so-far experimentally determined Weyl semimetals (WSMs) the Weyl points (WPs) always appear in pairs in the momentum space with no exception. As a consequence, Fermi arcs occur on…

Chiral anomaly is a very fundamental aspect of quantum theories with chiral fermion, from the Standard Model to supersymmetric field theories or even string theories. How such microscopic anomaly manifests itself in a macroscopic many-body…

High Energy Physics - Phenomenology · Physics 2016-12-22 Jinfeng Liao

Charge order--ubiquitous among correlated materials--is customarily described purely as an instability of the electronic structure. However, the resulting theoretical predictions often do not match high-resolution experimental data. A…

Strongly Correlated Electrons · Physics 2020-10-26 Jans Henke , Felix Flicker , Jude Laverock , Jasper van Wezel

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…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Ming-Che Chang , Min-Fong Yang

Torsional strain in Weyl semimetals excites a unidirectional chiral density wave propagating in the direction of the torsional vector. This gapless excitation, named the chiral sound wave, is generated by a particular realization of the…

Mesoscale and Nanoscale Physics · Physics 2020-12-24 Matteo Baggioli , Maxim N. Chernodub , Karl Landsteiner , Maria A. H. Vozmediano

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Recently it is found that Weyl anomaly leads to novel anomalous currents in the spacetime with a boundary. However, the anomalous current is suppressed by the mass of charge carriers and the distance to the boundary, which makes it…

High Energy Physics - Theory · Physics 2021-09-15 Ruiping Guo , Rong-Xin Miao

We study the physics of 3d supersymmetric abelian gauge theories (with small supersymmetry breaking perturbations) at finite density. Using mirror symmetry, which provides a natural generalization of the duality between the XY model and the…

High Energy Physics - Theory · Physics 2015-06-18 Anson Hook , Shamit Kachru , Gonzalo Torroba , Huajia Wang

Anomalous Nernst effect, as a thermal partner of anomalous Hall effect, is particularly sensitive to the Berry curvature anomaly near the Fermi level, and has been used to probe the topological nature of quantum materials. In this work, we…

Materials Science · Physics 2025-03-17 Haiyang Yang , Qi Wang , Junwu Huang , Zhouliang Wang , Keqi Xia , Chao Cao , Mingliang Tian , Zhuan Xu , Jianhui Dai , Yuke Li

Weyl semi-metal is the three dimensional analog of graphene. According to the quantum field theory, the appearance of Weyl points near the Fermi level will cause novel transport phenomena related to chiral anomaly. In the present paper, we…

We study the production of chiral fermions in a background of a strong non-abelian gauge field with a non-vanishing Chern-Pontryagin density. We discuss both pair production analogous to the Schwinger effect as well as asymmetric production…

High Energy Physics - Phenomenology · Physics 2019-06-03 Valerie Domcke , Yohei Ema , Kyohei Mukaida , Ryosuke Sato

In condensed matter physics, the term "chiral anomaly" implies the violation of the separate number conservation laws of Weyl fermions of different chiralities in the presence of parallel electric and magnetic fields. One effect of chiral…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 S. Nandy , Gargee Sharma , A. Taraphder , Sumanta Tewari

In two-dimensional Fermi liquids (FLs), odd-parity Fermi surface deformations have anomalously slow relaxation rates that are suppressed as $T^4$ with temperature $T$, distinct from the standard FL $T^2$ scaling. We demonstrate here that…

Mesoscale and Nanoscale Physics · Physics 2024-11-19 Johannes Hofmann , Habib Rostami

In this paper, we introduce Berry curvature, topological Chern number and topological chiral edge mode, that emerge from a hybridization between magnon and electromagnetic wave in a ferromagnet insulator. By focusing on the energy…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Akihiro Okamoto , Ryuichi Shindou , Shuichi Murakami

The thermal chiral anomaly is a new mechanism for thermal transport that occurs in Weyl semimetals (WSM). It is attributed to the generation and annihilation of energy at Weyl points of opposite chirality. The effect was observed in the…

Materials Science · Physics 2021-12-22 Joon Sang Kang , Dung Vu , Joseph P. Heremans

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

The regularization scheme is proposed for the constrained Hamiltonian formulation of the gauge fields coupled to the chiral or axial fermions. The Schwinger terms in the regularized operator first-class constraint algebra are shown to be…

High Energy Physics - Theory · Physics 2009-10-28 I. Yu. Karataeva , S. L. Lyakhovich

We consider the properties of the type II Weyl semimetals at low temperatures basing on the particular tight - binding model. In the presence of electric field directed along the line connecting the Weyl points of opposite chirality the…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 M. A. Zubkov , M. Lewkowicz

We reconsider the problem of the anomalous Hall effect in ferromagnetic SrRuO$_3$, incorporating insights from the recently developed theory of Weyl semimetals. We demonstrate that SrRuO$_3$ possesses a large number of Weyl nodes, separated…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , D. L. Bergman , A. A. Burkov

The quantization of the chiral Schwinger model $(\chi QED_{2})$ with one-parameter class Faddeevian regularization is hampered by the chiral anomaly, i.e., the Gauss law commutator exhibits Faddeev's anomaly. To overcome this kind of…

High Energy Physics - Theory · Physics 2009-12-15 A. C. R. Mendes , C. Neves , W. Oliveira