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TT: Fachverband Tiefe Temperaturen

TT 59: Topological Insulators I (joint session TT/MA)

TT 59.2: Talk

Wednesday, March 14, 2018, 12:00–12:15, A 053

Effects of local approximations on topological phases — •Thomas Mertz, Karim Zantout, and Roser Valenti — ITP, Goethe University, Frankfurt am Main

We investigate the self-energy dispersion of topological models and its effect on the topological classification in terms of invariants computed in the framework of the so-called topological Hamiltonian, an auxiliary Fermi-liquid like theory. The concept of topology in physics has matured as a non-interacting theory, most of its properties deeply intertwined with the conventional band theory of solids. Recently, a lot of interest has shifted towards interacting systems, which have not been studied extensively from a topological point of view. Since the topological Hamiltonian is determined by the zero-frequency value of the self-energy only, which has been studied using local theories, we focus on the explicit momentum-dependence captured by methods such as TPSC and CPT.