Multiparticle equations for interacting Dirac Fermions in graphene nanostructures

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

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• Ground state properties of graphene in Hartree-Fock theory
• Stability of Impurities with Coulomb Potential in Graphene with Homogeneous Magnetic Field
• Two-electron bound states near a Coulomb impurity in gapped graphene
• On the Maximal Excess Charge of the Chandrasekhar-Coulomb Hamiltonian in Two Dimensions
• Correlation and current anomalies in helical quantum dots