Graphene under the influence of Aharonov--Bohm flux and constant magnetic field

E. A. Stepanov, V. Ch. Zhukovsky

Published 2016-04-15Version 1

Investigation of real two-dimensional systems with Dirac-like electronic behavior under the influence of magnetic field is challenging and leads to many interesting physical results. In this paper we study 2D graphene model with particular form of magnetic field as a superposition of homogeneous field and Aharonov-Bohm vortex. For considered system, electronic wave functions and energy spectrum were obtained and it was shown that magnetic Aharonov-Bohm vortex plays the role of charge impurity. Additionally, vacuum and electric currents were obtained for particular limiting cases of magnetic field.