Ground state properties of graphene in Hartree-Fock theory
arXiv:1203.5016 · doi:10.1063/1.4750049
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.
27 pages
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- Localization and IDS Regularity in the Disordered Hubbard Model within Hartree-Fock Theory
- Thomas-Fermi theory of out-of-plane charge screening in graphene
- Dirac cones for a mean-field model of graphene