Multiparticle equations for interacting Dirac Fermions in graphene nanostructures
arXiv:1001.3761 · doi:10.1088/1751-8113/43/21/215202
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.
19 pages, 3 figures, published version