  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 a
particular form of magnetic field as a superposition of a homogeneous field and
an Aharonov-Bohm vortex. For this configuration, electronic wave functions and
energy spectrum were obtained and it was shown that the magnetic Aharonov-Bohm
vortex plays the role of a charge impurity. As a demonstration of vacuum
properties of the system, vacuum current, as well as an electric current, is
calculated and their representation for particular limiting cases of magnetic
field is obtained.
