Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 74: Topological Insulators
TT 74.10: Vortrag
Donnerstag, 12. März 2026, 12:00–12:15, CHE/0091
Z2 topological invariants from the Green’s function diagonal zeros — Florian Simon1 and •Corentin Morice2 — 1Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden — 2Laboratoire de Physique des Solides, Université Paris Saclay, CNRS, Orsay, France
We investigate the relationship between the analytical properties of the Green’s function and Z2 topological insulators, focusing on three-dimensional inversion-symmetric systems. We show that the diagonal zeros of the Green’s function in the orbital basis provide a direct and visual way to calculate the strong and weak Z2 topological invariants. We introduce the surface of crossings of diagonal zeros in the Brillouin zone, and show that it separates TRIMs of opposite parity in two-band models, enabling the visual computation of the Z2 invariants by counting the relevant TRIMs on either side.
Keywords: Topological insulators; Z2 topological invariant; Green's function