Multiparticle equations for interacting Dirac Fermions in graphene nanostructures

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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19 pages, 3 figures, published version

Scientific paper

10.1088/1751-8113/43/21/215202

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.

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