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SYTO: Symposium Topology in Condensed Matter Physics

SYTO 1: Topology in Condensed Matter Physics

SYTO 1.1: Invited Talk

Wednesday, March 14, 2018, 09:30–10:00, H 0105

Beyond Topologically Ordered States: Insights from Entanglement — •B. Andrei Bernevig — Princeton University

I will discuss and show several examples where well-accepted mathematical theories of topological phases of matter need to be augmented. In topological insulators, I will show examples of very esoteric phases, realizable in materials, that are beyond the so called-K theory classification thought to be the end-all mathematical framework of band insulators. In interacting topologically ordered phases of matter, I will show that for some 3D hamiltonians the entanglement entropy has a behavior that cannot be explained by any usual Field theory approach. In several one-dimensional magnets, I will show that excited states on top of a topologically ordered ground-state coexist with thermalized states.