Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Quantum Liquids, Miscellaneous 1
TT 9.12: Talk
Monday, March 11, 2013, 12:30–12:45, H21
Time-reversal-invariant Hofstadter-Hubbard model with ultracold fermions — •Peter Orth1, Daniel Cocks2, Stephan Rachel3, Michael Buchhold2, Karyn Le Hur4, and Walter Hofstetter2 — 1Institute for Theory of Condensed Matter, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, — 2Institut für Theoretische Physik, Goethe-Universität, 60438 Frankfurt/Main — 3Institute for Theoretical Physics, Dresden University of Technology, 01062 Dresden — 4Center for Theoretical Physics, Ecole Polytechnique, CNRS, 91128 Palaiseau Cedex, France
We consider the time-reversal-invariant Hofstadter-Hubbard model which can be realized in cold-atom experiments [1]. 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 and 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. We study the semi-metal to magnetic insulator transition, and find rich magnetic phases tunable by the spin-orbit coupling terms. We compute spectral functions which allow us to study the edge states of the strongly correlated topological phases.
[1] D. Cocks, P. P. Orth, S. Rachel, M. Buchhold, K. Le Hur, and W. Hofstetter, Phys. Rev. Lett. 109, 205303 (2012).