Hannover 2020 – scientific programme
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A: Fachverband Atomphysik
A 27: Ultra-cold atoms, ions, and BEC VI (joint session A/Q)
A 27.3: Talk
Thursday, March 12, 2020, 14:45–15:00, f303
Three-dimensional time-reversal-invariant Hofstadter-Hubbard model — •Bernhard Irsigler1, Jun-Hui Zheng1,2, Fabian Grusdt3,4, and Walter Hofstetter1 — 1Goethe-University Frankfurt, Germany — 2NTNU, Trondheim, Norway — 3MCQST, Munich, Germany — 4LMU, Munich, Germany
We report on the three-dimensional time-reversal-invariant Hofstadter model with finite spin-orbit coupling. We introduce three numerical methods for characterizing the topological phases based on twisted boundary conditions, Wilson loops, as well as the local topological marker. Besides the weak and strong topological insulator phases we find a nodal line semimetal in the parameter regime between the two three-dimensional topological insulator phases. Using dynamical mean-field theory combined with the topological Hamiltonian approach we find stabilization of these three-dimensional topological states due to the Hubbard interaction. We study surface states which exhibit an asymmetry between left and right surface originating from the broken parity symmetry of the system. Our results set the stage for further research on inhomogeneous three-dimensional topological systems, proximity effects, topological Mott insulators and non-trivially linked nodal line semimetals.