**Time/Venue** Friday, January 8 at 2:00 pm Pacific Time via this Zoom link**Host** Mike Zaletel**Title** Intertwined topological and broken symmetry orders in fractional Chern insulators**Abstract** Recent advances in the engineering of topological band structures in solid-state and cold-atom systems have raised the possibility of realizing fractional Chern insulators (FCIs), lattice analogues of fractional quantum Hall (FQH) states formed in Chern bands. It is thus of experimental interest to understand how the underlying lattice can drive new physics in these states. To that end, we investigate FCI states arising from pairing of composite fermions, analogous to the Moore-Read FQH state, in the square-lattice Hofstadter model. We find that magnetic translation symmetry favors finite-momentum pairing which, as in pair-density wave theories of the cuprates, can lead to concomitant charge-density wave order. These novel paired FCI states are thus characterized by the simultaneous emergence – or intertwining – of topological and broken symmetry orders. We obtain mean-field phase diagrams exhibiting a rich array of these striped topological phases, establishing paired FCI states as ideal platforms to investigate the phenomenon of intertwined orders.

# Special QM Seminar Speaker, Ramanjit Sohal (University of Illinois at Urbana-Champaign) Friday, January 8 at 2:00 pm

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