Ground state properties of graphene in Hartree-Fock theory

Details Ground state properties of graphene in Hartree-Fock theory Ground state properties of graphene in Hartree-Fock theory

2012-03-22

arxiv.org/abs/1203.5016v1

Physics

Mathematical Physics

27 pages

Scientific paper

We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the effective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric field. All our results are non perturbative.

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