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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Theoretical Aspects of Condensed Matter II

MP 9.2: Vortrag

Mittwoch, 20. März 2024, 09:50–10:10, HL 102

Spectral localizer for line-gapped non-Hermitian topological matter — •Lars Koekenbier — Friedrich-Alexander Universität Erlangen-Nürnberg, Erlangen, Germany

Topological matter, described by short-ranged and line-gapped non-Hermitian Hamiltonians, has associated strong topological invariants that determine its phases. I will present an approach to accessing these invariants via a suitable spectral localizer, which is an operator constructed without using the band structure of the material. An example of this numerical technique with relevance to the design of topological photonic systems, such as topological lasers, is shown.

Keywords: Topological matter; Non-Hermitian; Spectral localizer; Topology