Non-Hermitian Chiral Magnetic Effect in Equilibrium
Mesoscale and Nanoscale Physics
2020-05-07 v2 High Energy Physics - Theory
Abstract
We analyze the Chiral Magnetic Effect for non-Hermitian fermionic systems using the biorthogonal formulation of quantum mechanics. In contrast to the Hermitian chiral counterparts, we show that the Chiral Magnetic Effect may take place in thermal equilibrium of an open non-Hermitian system with, generally, massive fermions. The key observation is that for non-Hermitian charged systems, there is no strict charge conservation as understood in the Hermitian case, so the Bloch theorem preventing currents in the thermodynamic limit in equilibrium does not apply.
Cite
@article{arxiv.1901.06167,
title = {Non-Hermitian Chiral Magnetic Effect in Equilibrium},
author = {Maxim N. Chernodub and Alberto Cortijo},
journal= {arXiv preprint arXiv:1901.06167},
year = {2020}
}
Comments
14 pages, 3 figures; v2: discussions extended, version accepted for publication