Energy magnetization and transport in systems with a nonzero Berry curvature in a magnetic field
Abstract
We demonstrate that the wellknown expression for the charge magnetization of a sample with a nonzero Berry curvature can be obtained by demanding that the Einstein relation holds for the electric transport current. We extend this formalism to the transport energy current and show that the energy magnetization must satisfy a particular condition. We provide a physical interpretation of this condition, and relate the energy magnetization to circulating energy currents in Chern insulators due to chiral edge states. We further recover the expression for the energy magnetization with this alternative formalism. We also solve the Boltzmann Transport Equation for the nonequilibrium distribution function in 2D for systems with a nonzero Berry curvature in a magnetic field. This distribution function can be used to obtain the regular Hall response in timereversal invariant samples with a nonzero Berry curvature, for which there is no anomalous Hall response.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 DOI:
 10.48550/arXiv.2111.08026
 arXiv:
 arXiv:2111.08026
 Bibcode:
 2021arXiv211108026P
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 22 pages, 2 figures