Eur. Phys. J. C (2018) 78: 912
https://doi.org/10.1140/epjc/s10052-018-6380-1

Regular Article - Theoretical Physics

Aspects of the pseudo chiral magnetic effect in 2D Weyl-Dirac matter

¹ Instituto de Física Teórica, Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz, 271, Bloco II, Barra-Funda, CEP 01140-070, São Paulo, SP, Brazil
² Department of Physics, KU Leuven Campus Kortrijk, Kulak, Etienne Sabbelaan 53 bus 7657, 8500, Kortrijk, Belgium
³ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, C.P. 04510, México Distrito Federal, Mexico
⁴ Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, C.P. 58040, Morelia, Michoacán, Mexico
⁵ Departamento de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Casilla 447, Chillán, Chile

^* e-mail: cvillavicencio@ubiobio.cl

Received: 6 July 2018
Accepted: 27 October 2018
Published online: 10 November 2018

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.