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We argue that the correct definition of the electric current in the chiral kinetic theory for Weyl materials should include the Chern-Simons contribution that makes the theory consistent with the local conservation of the electric charge in…

Strongly Correlated Electrons · Physics 2017-03-28 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

The chiral plasmon modes of relativistic matter in background magnetic and strain-induced pseudomagnetic fields are studied in detail using the consistent chiral kinetic theory. The results reveal a number of anomalous features of these…

Mesoscale and Nanoscale Physics · Physics 2017-03-27 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature. It is well-known that in the chiral kinetic theory there inevitably appears a redundant ambiguous vector corresponding to the choice of the Lorentz…

High Energy Physics - Theory · Physics 2021-05-06 Tomoya Hayata , Yoshimasa Hidaka , Kazuya Mameda

Weyl semimetals realize massless relativistic fermions with two Weyl nodes separated in energy and momentum space, whose low-energy physics is described by Dirac fermions with an axial gauge constant. Here, we study their electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Tatsuya Amitani , Yusuke Nishida

We consider a relativistic plasma containing charged chiral fermions in an external magnetic field, e.g a chirally symmetric quark-gluon plasma created in relativistic heavy ion collisions. We show that triangle anomalies imply the…

High Energy Physics - Theory · Physics 2011-04-22 Dmitri E. Kharzeev , Ho-Ung Yee

The chiral kinetic theory of Weyl fermions with collisions in the presence of weak electric and magnetic fields is derived from quantum field theories. It is found that the side-jump terms in the perturbative solution of Wigner functions…

High Energy Physics - Theory · Physics 2017-05-10 Yoshimasa Hidaka , Shi Pu , Di-Lun Yang

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

Chiral magnetic effect is a quantum phenomenon that is breaking of chiral symmetry of relativistic Weyl fermions by quantum fluctuation under paralleled electric field E and magnetic field B. Intuitively, Weyl fermions with different…

Materials Science · Physics 2018-05-28 Yang-Yang Lv , Xiao Li , Bin Pang , Y. B. Chen , Shu-Hua Yao , Jian Zhou , Yan-Feng Chen

In the presence of parallel electric and magnetic fields, the violation of separate number conservation laws for the three dimensional left and right handed Weyl fermions is known as the chiral anomaly. The recent discovery of Weyl and…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in…

High Energy Physics - Theory · Physics 2017-05-02 O. F. Dayi , E. Kilincarslan , E. Yunt

Propagating chiral magnetic waves (CMW) are expected to exist in chiral plasmas due to the interplay between the chiral magnetic and chiral separation effects induced by the presence of a chiral anomaly. Unfortunately, it was pointed out…

High Energy Physics - Theory · Physics 2024-04-02 Yongjun Ahn , Matteo Baggioli , Yan Liu , Xin-Meng Wu

Many-body systems with chiral fermions exhibit anomalous transport phenomena originated from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for chiral fermions interacting with an external electromagnetic…

High Energy Physics - Theory · Physics 2019-05-08 Yu-Chen Liu , Lan-Lan Gao , Kazuya Mameda , Xu-Guang Huang

The low-energy quasiparticles of Weyl semimetals are a condensed-matter realization of the Weyl fermions introduced in relativistic field theory. Chiral anomaly, the nonconservation of the chiral charge under parallel electric and magnetic…

Materials Science · Physics 2017-12-29 Pilkwang Kim , Ji Hoon Ryoo , Cheol-Hwan Park

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

We derive the generalized chiral kinetic equations which are applicable to the fermions with arbitrary mass. We show how the dynamical magnetic-moment distribution function could lead to spin polarization and electric charge separation. We…

High Energy Physics - Phenomenology · Physics 2023-08-16 Shu-Xiang Ma , Jian-Hua Gao

When the right and the left handed Weyl points are separated in energy, they give rise to a non-dissipative charge current along the direction of a uniform applied magnetic field, even in the absence of an external electric field. This…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Pallab Goswami , Sumanta Tewari

The existence of pseudomagnetic helicons is predicted for strained Dirac and Weyl materials. The corresponding collective modes are reminiscent of the usual helicons in metals in strong magnetic fields but can exist even without a magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

For relativistic Weyl fermions in 3+1 dimensions, an electric current proportional to the external magnetic field is predicted. This remarkable phenomenon is called Chiral Magnetic Effect (CME). Here we show that actual transports in Weyl…

Strongly Correlated Electrons · Physics 2016-02-03 Hiroyuki Fujita , Masaki Oshikawa

A connection is established between the continuum limit of the low-energy tight-binding description of graphene immersed in an in-plane magnetic field and the Chiral Magnetic Effect in Quantum Chromodynamics. A combination of mass gaps that…

High Energy Physics - Phenomenology · Physics 2018-12-05 Ana Julia Mizher , Saul Hernandez-Ortiz , Alfredo Raya , Cristian Villavicencio

For a generic lattice Hamiltonian of the electron states in Weyl materials, we calculate analytically the chiral (or, equivalently, valley) charge and current densities in the first order in background electromagnetic and strain-induced…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov
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