Renormalized Landau Levels and Particle-Hole Symmetry in Graphene

TL;DR

This paper presents a self-consistent Hartree-Fock calculation of graphene's Landau levels, revealing interaction-induced shifts and wavefunction modifications, while emphasizing the importance of regularization for particle-hole symmetry.

Contribution

It introduces a detailed continuum model calculation that accounts for interactions and wavefunction changes in graphene's Landau levels, highlighting the role of regularization.

Findings

Interactions shift Landau-level energies.

Interactions modify Landau level wavefunctions.

Regularization preserves particle-hole symmetry.

Abstract

In this proceedings paper we report on a calculation of graphene's Landau levels in a magnetic field. Our calculations are based on a self-consistent Hartree-Fock approximation for graphene's massless-Dirac continuum model. We find that because of graphene's 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-model's particle hole symmetry properties.