Condensed Matter Physics, 2017, vol. 20, No. 4, 43705

Title: On the density of states of graphene in the nearest-neighbor approximation
Author(s):
  V.O. Ananyev (Faculty of Physics, Taras Shevchenko National Kyiv University, 6 Academician Glushkov Ave., Kyiv 03680, Ukraine) ,
  M.I. Ovchynnikov (Faculty of Physics, Taras Shevchenko National Kyiv University, 6 Academician Glushkov Ave., Kyiv 03680, Ukraine)

We propose an alternative analytical expression for the density of states of a clean graphene in the nearest-neighbor approximation. In contrast to the previously known expression it can be written as a single formula valid for the whole energy range. The correspondence with the previously known expression is shown and the limiting cases are analyzed.

Key words: graphene, density of states, van Hove singularity
PACS: 71.20.Tx, 73.22.Pr


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