Non-Hermitian Chiral Magnetic Effect in Equilibrium

Symmetry

MaximN. Chernodub¹  Alberto Cortijo² 

[1] Institut Denis Poisson UMR 7013, Université de Tours, 37200 Tours, France;Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, Spain;

关键词: non-hermitian hamiltonian;    chiral magnetic effect;    equilibrium transport;    Bloch theorem;   

DOI  :  10.3390/sym12050761

来源: DOAJ

【 摘 要 】

We analyze the chiral magnetic effect for non-Hermitian fermionic systems using the bi-orthogonal formulation of quantum mechanics. In contrast to the Hermitian counterparts, we show that the chiral magnetic effect takes place in equilibrium when a non-Hermitian system is considered. The key observation is that for non-Hermitian charged systems, there is no strict charge conservation as understood in Hermitian systems, so the Bloch theorem preventing currents in the thermodynamic limit and in equilibrium does not apply.

【 授权许可】

Unknown