Analysis of Landau level contribution to pseudo chiral magnetic effect in Weyl–Dirac matter

This study is motivated by the recent observed realization of Pseudo Chiral Magnetic Effect (PCME) into the continuum limit of the low-energy tight binding description of graphene. We here proposed the quantum description of PCME by investigating the Landau level structure of the system. The different physical quantities like current, chiral currents, number densities and chiral condensate are discussed in this context with this Landau level description of the system. Further, the effect of different physical conditions to the system is studied by analyzing the behavior of Landau levels under these conditions. This provides a microscopic understanding of the phenomenon. It has been shown that largest contribution to the PCME currents and number densities comes from the spin polarized lowest Landau level which corresponds to the system characteristics at low-temperature and high magnetic field. However, the contribution to the PCME current from the higher Landau levels is just opposite to that from the lowest Landau level. We have further established general expressions for all these physical quantities regarding to any higher-order Landau level.