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Quantum anomalies are one of the subtlest properties of relativistic field theories. They give rise to non-dissipative transport coefficients in the hydrodynamic expansion. In particular a magnetic field can induce an anomalous current via…

High Energy Physics - Theory · Physics 2018-02-14 Eugenio Megias

Chirality is a ubiquitous concept in modern science, from particle physics to biology. In quantum physics, chirality of fermions is linked to topology of gauge fields by the chiral anomaly. While the chiral anomaly is usually associated…

High Energy Physics - Phenomenology · Physics 2022-04-26 Dmitri E. Kharzeev

Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical…

High Energy Physics - Theory · Physics 2017-05-01 Karl Landsteiner

We study the anomalous Hall effect and orbital magnetization in chiral antiferromagnets, constructing a simple tight-binding model on a stacked Kagome lattice structure with spin-orbit coupling and the exchange interaction between the…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Naohiro Ito , Kentaro Nomura

We study the linear response of doped three dimensional Dirac and Weyl semimetals to vector potentials, by calculating the wave-vector and frequency dependent current-current response function analytically. The longitudinal part of the…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Anmol Thakur , Krishanu Sadhukhan , Amit Agarwal

We analyze the chiral symmetry breaking in a planar four-fermion model with non-null chemical potential, temperature and including the effect of the tilt of the Dirac cone. The system is modeled with a $(2 + 1)$-dimensional Gross-Neveu-like…

Mesoscale and Nanoscale Physics · Physics 2021-12-09 Y. M. P. Gomes , Rudnei O. Ramos

Chiral orbital currents (COC) underpin a novel colossal magnetoresistance (CMR) in ferrimagnetic Mn3Si2Te6 [1]. Here we report the Hall effect in the COC state which exhibits the following unprecedented features: (1) A sharp,…

Strongly Correlated Electrons · Physics 2024-04-30 Yu Zhang , Yifei Ni , Pedro Schlottmann , Rahul Nandkishore , Lance E. DeLong , Gang Cao

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

In four dimensions Weyl fermions possess a chiral anomaly which leads to several special features in the transport phenomena, such as the negative longitudinal magnetoresistivity. In this paper, we study its inverse, the longitudinal…

High Energy Physics - Theory · Physics 2015-03-04 Karl Landsteiner , Yan Liu , Ya-Wen Sun

Transport properties of dense quark matter are discussed in the strong magnetic field, B. B dependence as well as density dependence of the Hall conductivity is discussed in the inhomogeneous chiral phase. Anomalous Hall effect is intrinsic…

High Energy Physics - Phenomenology · Physics 2021-01-26 Toshitaka Tatsumi , Hiroaki Abuki

We compute the electric-current susceptibility \chi of hot quark-gluon matter in an external magnetic field B. The difference between the susceptibilities measured in the directions parallel and perpendicular to the magnetic field is…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Dmitri E. Kharzeev , Harmen J. Warringa

We employ a 3+1D anomalous hydrodynamics with initial condition generated by HIJING to simulate the chiral vortical effect and the chiral magnetic effect in heavy-ion collisions. This allows us to calculate the charge-dependent two-particle…

Nuclear Theory · Physics 2017-09-28 Xingyu Guo , Dmitri E. Kharzeev , Xu-Guang Huang , Wei-Tian Deng , Yuji Hirono

A conducting cylinder with a uniform magnetic field along its axis and radial temperature gradient is considered at the stationary state. At large temperature gradients the azimuthal Hall electrical current creates the axial magnetic field…

High Energy Astrophysical Phenomena · Physics 2025-12-22 G. S. Bisnovatyi-Kogan , M. V. Glushikhina

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

The phonon magnetochiral effect consists of a nonreciprocity in the velocity or attenuation of acoustic waves when they propagate parallel and antiparallel to an external magnetic field. The first experimental observation of this effect has…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Sanghita Sengupta , M. Nabil Y. Lhachemi , Ion Garate

The linear band crossings of 3D Dirac and Weyl semimetals are characterized by a charge chirality, the parallel or anti-parallel locking of electron spin to its momentum. Such materials are believed to exhibit a ${\bf E} \cdot {\bf B}$…

Materials Science · Physics 2021-06-01 Bing Cheng , Timo Schumann , Susanne Stemmer , N. P. Armitage

The phenomenon of nonlinear transport has attracted tremendous interest within the condensed matter community. We present a theoretical framework for nonlinear transport based on the nonequilibrium retarded Green's function, and examine the…

Strongly Correlated Electrons · Physics 2024-02-28 Mei-Wei Hu , Zhuo-Yan Fang , Hou-Jian Duan , Mou Yang , Ming-Xun Deng , Rui-Qiang Wang

Employing a two-band model of Weyl semimetal, the existence of the chiral magnetic effect (CME) is established within the linear-response theory. The crucial role played by the limiting procedure in deriving correct transport properties is…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Ming-Che Chang , Min-Fong Yang

The chiral anomaly may be realized in condensed matter systems with pairs of Weyl points. Here we show that the chiral anomaly can be realized in diverse noncentrosymmetric systems even without Weyl point pairs when spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Suik Cheon , Gil Young Cho , Ki-Seok Kim , Hyun-Woo Lee

The chiral magnetic wave (CMW) is sought using the charge asymmetry ($A_{\rm ch}$) dependence of anisotropic flow in heavy-ion collisions. The charge dependent transverse momentum ($p_{\rm T}$), however, could play a role as a background.…

Nuclear Theory · Physics 2023-05-30 Wen-Ya Wu , Chun-Zheng Wang , Qi-Ye Shou , Yu-Gang Ma , Liang Zheng
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