SKM 2023 – scientific programme

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O: Fachverband Oberflächenphysik

O 94: Topology and Symmetry-Protected Materials

O 94.10: Talk

Friday, March 31, 2023, 12:45–13:00, GER 38

Extended Hatano-Nelson model, exceptional points and spectral symmetry — •Julius Gohsrich^1,2, Sharareh Sayyad¹, and Flore K. Kunst¹ — ¹Max Planck Institute for the Science of Light, Staudtstraße 2, 91058 Erlangen, Germany — ²Department of Physics, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen, Germany

Non-Hermitian systems attract a lot of attention in recent years as effective description of open quantum systems. A prominent example in this context is the Hatano-Nelson model. While historically the model has short-range non-reciprocal hoppings, long-range hopping has not been systematically studied. In this talk, I will present our results on the extended Hatano-Nelson model. Using analytical techniques, we demonstrate how the underlying physics of the original Hatano-Nelson model is enriched when longer-range hoppings are also included. I will discuss how the crucial elements of the Hatano-Nelson model, namely, the non-Hermitian skin effect and the exceptional points, are modified for the generalized model.