Study of temperature Green’s functions of graphene-like systems in a half-space

I. A. D’yakonov, M. V. Komarova, M. Yu Nalimov

Research output

1 Citation (Scopus)


We consider the formalism of temperature Green’s functions to study the electronic properties of a semiinfinite two-dimensional graphene lattice at a given temperature. Under most general assumptions about the graphene boundary structure, we calculate the propagator in the corresponding diagram technique. The obtained propagator survives limit transitions between physically different states of the system boundary, i.e., a zig-zag edge and a boundary condition in the “infinite mass” approximation, and also correctly describes the problem where the electron–hole symmetry is violated because of the presence of an external potential applied to the graphene boundary. We illustrate the use of the propagator, its analytic properties, and specific features of calculating with it in the example of determining the dependence of the electron density on the distance to the system boundary.

Original languageEnglish
Pages (from-to)366-377
Number of pages12
JournalTheoretical and Mathematical Physics(Russian Federation)
Issue number3
Publication statusPublished - 1 Mar 2017

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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