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TT: Fachverband Tiefe Temperaturen

TT 36: Topological Insulators

TT 36.2: Vortrag

Mittwoch, 29. März 2023, 15:15–15:30, HSZ 103

Topological quantum chemistry with a twist — •Axel Fünfhaus, Marius Möller, and Roser Valentí — Goethe Uni Frankfurt, Frankfurt am Main, Germany

It is well known that many topological phases can be indicated by the symmetry behavior of their band structure at high symmetry points, which culminated in the development of topological quantum chemistry. This approach becomes problematic once interactions are added, as this does not permit conserved particle occupation numbers in reciprocal space. We face this challenge by generalizing the Brillouin zone for translation invariant many-body wave functions via a torus of twisted boundary conditions. This allows for a symmetry analysis of the ground state wave function in twisted boundary space. We apply this ansatz to detect topological phases in interacting Chern insulators and fractional Chern insulators as well as Mott insulating systems that cannot adiabatically be connected to atomic limits.