Interaction effects in the spinful time-reversal invariant Hofstadter problem

Details Interaction effects in the spinful time-reversal invariant Hofstadter problem Interaction effects in the spinful time-reversal invariant Hofstadter problem

2012-04-18

arxiv.org/abs/1204.4171v1

Physics

Condensed Matter

Quantum Gases

4+ pages, 3 figures

Scientific paper

We consider a spinful and time-reversal invariant version of the Hofstadter problem which can be realized in cold atom experiments. In these experiments, an additional staggered potential and a Rashba--type hopping 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.

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