Learning About the Doped Hubbard Model on a Honeycomb Lattice

The Hubbard model is a foundational model of condensed matter physics.  Formulated on a honeycomb lattice it provides a crude model for graphene; on a square lattice it may model high-Tc superconductors. I will present first-principles numerical results characterizing the quantum phase transition of the Hubbard model on a honeycomb lattice between a Dirac semimetal to an antiferromagnetic Mott insulator, and then present results away from half-filling, where the model develops a sign problem.