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arXiv · 1203.5016

Ground state properties of graphene in Hartree-Fock theory

Christian Hainzl·Mathieu Lewin·Christof Sparber
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Abstract

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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Christian Hainzl, Mathieu Lewin, Christof Sparber. 2012-03-22. Ground state properties of graphene in Hartree-Fock theory. https://doi.org/10.1063/1.4750049

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