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

Reinhold Egger, Alessandro De Martino, Heinz Siedentop, Edgardo Stockmeyer
2010 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/43/21/215202 fatcat:yo5bt734bfa7neoe67ffpvpcia