title: Time-reversal-invariant Hofstadter-Hubbard model with ultracold fermions.
abstract: We consider the time-reversal-invariant Hofstadter-Hubbard model which can be realized in cold-atom experiments. In these experiments, an additional staggered potential and an artificial Rashba-type spin-orbit coupling are available. Without interactions, the system exhibits various phases such as topological and normal insulator, metal as well as semi-metal phases with two or even more Dirac cones. Using a combination of real-space dynamical mean-field theory and analytical techniques, we discuss the effect of on-site interactions and determine the corresponding phase diagram. In particular, we investigate the semi-metal to antiferromagnetic insulator transition and the stability of different topological insulator phases in the presence of strong interactions. We compute spectral functions which allow us to study the edge states of the strongly correlated topological phases.
authors.affiliation: Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main, Germany.
authors.forename: Daniel
authors.initials: D
authors.lastname: Cocks
authors.forename: Peter P
authors.initials: PP
authors.lastname: Orth
authors.forename: Stephan
authors.initials: S
authors.lastname: Rachel
authors.forename: Michael
authors.initials: M
authors.lastname: Buchhold
authors.forename: Karyn
authors.initials: K
authors.lastname: Le Hur
authors.forename: Walter
authors.initials: W
authors.lastname: Hofstetter