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Non-Hermitian Chiral Magnetic Effect in Equilibrium

by 1,2,*,† and 3,4,†
Institut Denis Poisson UMR 7013, Université de Tours, 37200 Tours, France
Pacific Quantum Center, Far Eastern Federal University, Sukhanova 8, 690950 Vladivostok, Russia
Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, Spain
Departamento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, 28049 Madrid, Spain
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(5), 761;
Received: 5 March 2020 / Revised: 10 April 2020 / Accepted: 16 April 2020 / Published: 6 May 2020
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. View Full-Text
Keywords: non-hermitian hamiltonian; chiral magnetic effect; equilibrium transport; Bloch theorem non-hermitian hamiltonian; chiral magnetic effect; equilibrium transport; Bloch theorem
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MDPI and ACS Style

Chernodub, M.N.; Cortijo, A. Non-Hermitian Chiral Magnetic Effect in Equilibrium. Symmetry 2020, 12, 761.

AMA Style

Chernodub MN, Cortijo A. Non-Hermitian Chiral Magnetic Effect in Equilibrium. Symmetry. 2020; 12(5):761.

Chicago/Turabian Style

Chernodub, Maxim N., and Alberto Cortijo. 2020. "Non-Hermitian Chiral Magnetic Effect in Equilibrium" Symmetry 12, no. 5: 761.

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