Berry curvature, triangle anomalies, and the chiral magnetic effect in Fermi liquids

DT Son, N Yamamoto - Physical review letters, 2012 - APS
In a three-dimensional Fermi liquid, quasiparticles near the Fermi surface may possess a
Berry curvature. We show that if the Berry curvature has a nonvanishing flux through the …

Chiral kinetic theory

MA Stephanov, Y Yin - Physical review letters, 2012 - APS
We derive the nonequilibrium kinetic equation describing the motion of chiral massless
particles in the regime where it can be considered classically. We show that the Berry …

Kinetic theory with Berry curvature from quantum field theories

DT Son, N Yamamoto - Physical Review D—Particles, Fields, Gravitation, and …, 2013 - APS
A kinetic theory can be modified to incorporate triangle anomalies and the chiral magnetic
effect by taking into account the Berry curvature flux through the Fermi surface. We show …

Berry curvature and four-dimensional monopoles in the relativistic chiral kinetic equation

JW Chen, S Pu, Q Wang, XN Wang - Physical review letters, 2013 - APS
We derive a relativistic chiral kinetic equation with manifest Lorentz covariance from Wigner
functions of spin-1/2 massless fermions in a constant background electromagnetic field. It …

Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism

JH Gao, ZT Liang, Q Wang - International Journal of Modern Physics …, 2021 - World Scientific
We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function
formalism. The chiral and spin kinetic equations can be derived from equations for Wigner …

Chiral magnetic effect and natural optical activity in metals with or without Weyl points

J Ma, DA Pesin - Physical Review B, 2015 - APS
We consider the phenomenon of natural optical activity, and related chiral magnetic effect in
metals with low carrier concentration. To reveal the correspondence between the two …

Kinetic theory of chiral relativistic plasmas and energy density of their gauge collective excitations

C Manuel, JM Torres-Rincon - Physical Review D, 2014 - APS
We use the recently developed kinetic theory with Berry curvature to describe the fermions
and antifermions of a chiral relativistic plasma. We check that this transport approach allows …

Dirac sea and chiral anomaly in the quantum kinetic theory

JH Gao, ZT Liang, Q Wang - Physical Review D, 2020 - APS
We revisit the chiral anomaly in the quantum kinetic theory in the Wigner function formalism
under the background field approximation. Our results show that the chiral anomaly is …

Large enhancement of conductivity in Weyl semimetals with tilted cones: Pseudorelativity and linear response

S Rostamzadeh, İ Adagideli, MO Goerbig - Physical Review B, 2019 - APS
We study the conductivity of two-dimensional graphene-type materials with tilted cones as
well as their three-dimensional Weyl counterparts and show that a covariant quantum …

Quantum Transport Theory of Strongly Correlated Matter

A Auerbach, S Bhattacharyya - arXiv preprint arXiv:2406.02677, 2024 - arxiv.org
This report reviews recent progress in computing Kubo formulas for general interacting
Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong …