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Ground state properties of graphene in Hartree-Fock theory

Date: 
Tuesday 31st July 2012 - 11:00 to 11:45
Venue: 
INI Seminar Room 1
Abstract: 
In this talk I will discuss the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions.

First I will explain how to construct the translation-invariant ground state. Due to the exchange term, the resulting effective Fermi velocity is logarithmically divergent at zero momentum. Then I will discuss the existence of ground states in the presence of local defects and some properties of the associated nonlinear response.

Joint work with C. Hainzl and C. Sparber.

Related Links: http://arxiv.org/abs/1203.5016 - arXiv paper
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons