Ground state properties of graphene in Hartree-Fock theory
Mathematical Physics
2015-06-04 v1 Mesoscale and Nanoscale Physics
Other Condensed Matter
math.MP
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.
Keywords
Cite
@article{arxiv.1203.5016,
title = {Ground state properties of graphene in Hartree-Fock theory},
author = {Christian Hainzl and Mathieu Lewin and Christof Sparber},
journal= {arXiv preprint arXiv:1203.5016},
year = {2015}
}
Comments
27 pages