Multiparticle equations for interacting Dirac Fermions in graphene nanostructures
Mesoscale and Nanoscale Physics
2010-05-07 v2 Mathematical Physics
math.MP
Abstract
We study the energy of quasi-particles in graphene within the Hartree-Fock approximation. The quasi-particles are confined via an inhomogeneous magnetic field and interact via the Coulomb potential. We show that the associated functional has a minimizer and determine the stability conditions for the N-particle problem in such a graphene quantum dot.
Cite
@article{arxiv.1001.3761,
title = {Multiparticle equations for interacting Dirac Fermions in graphene nanostructures},
author = {R. Egger and A. De Martino and H. Siedentop and E. Stockmeyer},
journal= {arXiv preprint arXiv:1001.3761},
year = {2010}
}
Comments
19 pages, 3 figures, published version