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TT: Fachverband Tiefe Temperaturen

TT 51: Topological Semimetals II

TT 51.6: Talk

Wednesday, March 20, 2024, 16:15–16:30, H 3007

Weak Z2 Supertopology — •Kirill Parshukov1, Moritz M. Hirschmann1,2, and Andreas P. Schnyder11Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany — 2RIKEN Center for Emergent Matter Science, Wako, Saitama 351-0198, Japan

We study symmetry-enforced Z2 topology in non-magnetic centrosymmetric materials. We provide a classification of space groups whose symmetries enforce a nontrivial Z2 indicator for all bands, independent of material details. For the found space groups we list all 2D subplanes in the Brillouin zone (BZ) that host the non-trivial 2D indicator. In the presence of strong spin-orbit coupling, the enforced indicator leads to quantum spin Hall states in the 2D subplanes of the BZ. If the spin-orbit coupling is negligible, the indicator enforces quantized π Berry phases along special contours. The enforced π Berry phases correspond to an odd number of Dirac nodal lines piercing the topological planes. We discuss experimental consequences and list a number of example materials.

Keywords: Topological semimetals; Topological insulators; Quantum spin Hall effect; Symmetry-protected topological phases; Symmetry indicators

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