Multiparticle equations for interacting Dirac fermions in magnetically confined graphene quantum dots

Egger, R., De Martino, A., Siedentop, H. & Stockmeyer, E. (2010). Multiparticle equations for interacting Dirac fermions in magnetically confined graphene quantum dots. Journal of Physics A: Mathematical and Theoretical, 43(21), 215202. 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 determines the stability conditions for the N-particle problem in such a graphene quantum dot.