Non-Hermitian Chiral Magnetic Effect in Equilibrium

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.

14 pages, 3 figures; v2: discussions extended, version accepted for publication

References in corpus (11)

• The Chiral Magnetic Effect
• $\mathcal{P}\mathcal{T}$-symmetric circuit-QED
• Electromagnetic helicity in complex media
• Optical Chirality in Dispersive and Lossy Media
• Symmetries and conservation laws in non-Hermitian field theories
• Goldstone bosons and the Englert-Brout-Higgs mechanism in non-Hermitian theories
• Electromagnetic duality anomaly in curved spacetimes
• The Zilch Vortical Effect
• Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians
• Metric Operators for Quasi-Hermitian Hamiltonians and Symmetries of Equivalent Hermitian Hamiltonians
• Towards non-Hermitian quantum statistical thermodynamics

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• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Field Theory of Dissipative Systems with Gapped Momentum States
• Spontaneous Non-Hermiticity in Nambu-Jona-Lasinio model
• Non-Hermitian Holography
• Non-Hermitian chiral anomalies
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Non-Hermitian Quantum Quenches in Holography
• Density operator approach to turbulent flows in plasma and atmospheric fluids
• Anomaly-induced edge currents in hydrodynamics with parity anomaly