Multiparticle equations for interacting Dirac Fermions in graphene nanostructures

Article, Preprint English OPEN
Egger, R. ; De Martino, A. ; Siedentop, H. ; Stockmeyer, E. (2010)
  • Related identifiers: doi: 10.1088/1751-8113/43/21/215202
  • Subject: QC | Mathematical Physics | Condensed Matter - Mesoscale and Nanoscale Physics
    arxiv: Physics::Classical Physics | Physics::Atomic and Molecular Clusters | Physics::Chemical Physics | Computer Science::Other

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 determines the stability conditions for the N-particle problem in such a graphene quantum dot.
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