Abstract
In this paper, the dynamical properties of charge carriers in the two-dimensional atomic layer of graphene lattice with torus-shape geometry is studied in the presence of a gauge field. The curved space considerations involves Dirac equation along with a magnetic field for relativistic quasiparticles in graphene. By using the Heun’s differential equation, we are able to analytically find discrete Landau levels of graphene in torus-like curved space. The magnetization of energy states is investigated.
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