Renormalized Landau Levels and Particle-Hole Symmetry in Graphene

In this proceedings paper we report on a calculation of graphenes Landau levels in a magnetic field. Our calculations are based on a self-consistent Hartree-Fock approximation for graphenes massless-Dirac continuum model. We find that because of graphenes chiral band structure interactions not only shift Landau-level energies, as in a non-relativistic electron gas, but also alter Landau level wavefunctions. We comment on the subtle continuum model regularization procedure necessary to correctly maintain the lattice-models particle hole symmetry properties.