Aspects of the pseudo Chiral Magnetic Effect in 2D Weyl-Dirac Matter

TL;DR

This paper explores how a pseudo chiral magnetic effect can occur in 2D Weyl-Dirac materials like graphene under magnetic fields, linking condensed matter physics with quantum chromodynamics phenomena.

Contribution

It establishes a theoretical connection between the low-energy limit of graphene in magnetic fields and the chiral magnetic effect in QCD, highlighting the role of mass gaps in generating currents.

Findings

Non-dissipative electric currents can be generated by mass gaps in graphene.

The setup models pseudo-chiral imbalance leading to observable effects.

Different energy scale hierarchies influence the magnitude of generated currents.

Abstract

A connection is established between the continuum limit of the low-energy tight-binding description of graphene immersed in an in-plane magnetic field and the Chiral Magnetic Effect in Quantum Chromodynamics. A combination of mass gaps that explicitly breaks the equivalence of the Dirac cones, favoring an imbalance of pseudo-chiralities, is the essential ingredient to generate a non-dissipative electric current along the external field. Currents, number densities and condensates generated from this setup are investigated for different hierarchies of the energy scales involved.