Multiparticle equations for interacting Dirac Fermions in graphene nanostructures
De Martino, A.
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.