AB Bilayer graphene in the external magnetic field

Abstract

This paper is dedicated to studying the magnetic field effects on the physical properties of the AB bilayer graphene. We consider the generalized Hubbard model to study the physical properties in the AB staked bilayer graphene exposed to the external magnetic field and applied electric field potential. We calculated a series of physical parameters in the system numerically as a function of the magnetic field and electric field potential. Different site-filling regimes have been considered and their influence on the behavior of the calculated physical parameters has been studied. We show that at the half-filling and high magnetic field values the charge neutrality is attained in the bilayer graphene, while at the partial-filling the system gets only charge-stabilized. Moreover, for both filling regimes, we have found a narrow region of the magnetic field parameter, where the excitonic pairing interaction survives.