Main field of study: 011200 Physics
Area of specialization: Statistical Theory of Inhomogeneous Media
Department of statistical physics
Scientific adviser: M. V. Komorova
Reviewer: M. Yu. Nalimov

Investigation of temperature Green functions for semi-infinite graphene
Diakonov I. A.

In  this paper was to obtain an exact expression for the temperature Green's function of the half-plane of graphene. The resulting temperature Green's function can be used to construct a regular perturbation theory to describe the electronic properties of graphene associated with the interaction of "density-density". With it was a calculated charge density in the general case for an arbitrary parameter of boundary conditions θ. It turned out that the condition of electrical neutrality is not violated only in three cases: when θ = 0, θ = ± π / 2. The first corresponds to the boundary conditions of the type ''zigzag'', the remaining two - type ''armchair'', in the first case the electron density does not depend on the distance to the border and possibly restore the dependence on the temperature and the chemical potential of the Fermi level, and in the second case, the dependence of the chemical potential set the temperature could not be determined. This is due primarily to the violation of the electron-hole symmetry by introducing into consideration the non-zero chemical potential.

Bibliography
1. Diakonov I. A. Abstracts on AYSS-2015: «Investigation of temperature Green functions for semi-infinite graphene»