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We demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 A. A. Burkov

We investigate the chiral electric separation effect, where an axial current is induced by an electric field in the presence of both vector and axial chemical potentials, in a strongly coupled plasma via the Sakai-Sugimoto model with an…

High Energy Physics - Theory · Physics 2014-04-23 Shi Pu , Shang-Yu Wu , Di-Lun Yang

The Wilson formulation of fermions in lattice gauge theory provides a unified description of the chiral anomalies in the standard model. The discrete Dirac operator diagonalizes into a series of two by two blocks. In each block the possible…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Creutz

We demonstrate that topological transport phenomena, characteristic of Weyl semimetals, namely the semi-quantized anomalous Hall effect and the chiral magnetic effect (equilibrium magnetic-field-driven current), may be thought of as two…

Mesoscale and Nanoscale Physics · Physics 2012-09-27 A. A. Zyuzin , A. A. Burkov

Magneto conductivities in Weyl semimetals (WSM) in presence of small fields are studied using quasi-classical Boltzmann transport equations (BTE). Following such formalism here we consider irradiation via circularly polarized light on a…

Strongly Correlated Electrons · Physics 2022-10-11 Rounak Sen , Satyaki Kar

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

We generalize a semiclassical theory and use the argument of angular momentum conservation to examine the ballistic transport in lightly-doped Weyl semimetals, taking into account various phase-space Berry curvatures. We predict universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Shengyuan A. Yang , Hui Pan , Fan Zhang

The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if…

High Energy Physics - Theory · Physics 2007-05-23 H. Banerjee

In most Dirac semimetals, time-reversal and inversion symmetries are believed to play a crucial role in their stability. We demonstrate that these symmetries are broken in Dirac fermions in the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$…

Strongly Correlated Electrons · Physics 2020-06-26 Takao Morinari

We study relation between Chiral Separation Effect (CSE) and Chiral Anomaly, and argue that CSE does not inherit the immutability of Chiral Anomaly. For QED in the leading order in electric charge, with point-splitting regularization in…

High Energy Physics - Phenomenology · Physics 2022-09-20 Z. V. Khaidukov , R. A. Abramchuk

We report on a mean-field study of spontaneous breaking of chiral symmetry for Dirac fermions with contact interactions in the presence of chiral imbalance, which is modelled by nonzero chiral chemical potential. We point out that chiral…

High Energy Physics - Theory · Physics 2015-01-22 P. V. Buividovich

Chiral anomaly, a non-conservation of chiral charge pumped by the topological nontrivial gauge fields, has been predicted to exist in Weyl semimetals. However, until now, the experimental signature of this effect exclusively relies on the…

Given the intrinsic nonequilibrium nature of high-energy collisions the investigation of the dynamical properties of transport phenomena is important. The study of the real-time behavior of various conductivities and susceptibilities help…

High Energy Physics - Phenomenology · Physics 2020-01-08 Miklos Horvath , Defu Hou , Hai-cang Ren

The Multi-Phase Transport model, AMPT, and the Anomalous Viscous Fluid Dynamics model, AVFD, are used to assess a possible chiral-magnetically-driven charge separation ($\Delta S$) recently measured with the ${R_{\Psi_2}(\Delta S)}$…

Nuclear Experiment · Physics 2021-05-20 Roy A. Lacey , Niseem Magdy

By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

We study fermions derivatively coupled to axion-like or pseudoscalar fields, and show that the axial vector current of the fermions is not conserved in the limit where the fermion is massless. This apparent violation of the classical chiral…

High Energy Physics - Theory · Physics 2022-08-24 Peter Adshead , Kaloian D. Lozanov

Weyl semimetals provide the realization of Weyl fermions in solid-state physics. Among all the physical phenomena that are enabled by Weyl semimetals, the chiral anomaly is the most unusual one. Here, we report signatures of the chiral…

We study the transport properties of a relativistic fluid affected by chiral and gauge-gravitational anomalies. The computation is performed in the framework of the fluid/gravity correspondence for a 5 dim holographic model with…

High Energy Physics - Theory · Physics 2015-06-16 Eugenio Megias , Francisco Pena-Benitez

An unbounded massless Dirac model with two nondegenerate Dirac cones is the simplest model for Weyl semimetals, which show the anomalous electromagnetic response of chiral magnetic effect (CME) and anomalous Hall effect (AHE). However, if…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Yositake Takane

The energy-dependent electrical conductivity in spin-1 chiral fermion systems with disorder is studied using the self-consistent Born approximation. A distinct cusp-like feature appears at an energy different from the band-crossing point,…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Risako Kikuchi , Junya Endo , Ai Yamakage
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