Chiral Anomaly in Non-Relativistic Systems: Berry Curvature and Chiral Kinetic Theory
Lan-Lan Gao1 and Xu-Guang Huang1,2*
1 Physics Department and Center for Particle Physics and Field Theory, Fudan University, Shanghai 200438, China2 Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, China
Abstract ：Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in realistic materials, such as Dirac and Weyl semimetals, the nonlinear dispersion relations appear naturally. We develop a kinetic framework to study the chiral anomaly for Weyl fermions with nonlinear dispersions using the methods of Wigner function and semi-classical equations of motion. In this framework, the chiral anomaly is sourced by Berry monopoles in momentum space and could be enhanced or suppressed due to the windings around the Berry monopoles. Our results can help understand the chiral anomaly-induced transport phenomena in non-relativistic systems.
收稿日期: 2021-11-23
出版日期: 2022-01-29
:
11.30.Rd
(Chiral symmetries)
72.10.Bg
(General formulation of transport theory)
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2022, Vol. 39 
