Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 68: Topology: Other Topics

TT 68.7: Vortrag

Freitag, 5. April 2019, 11:15–11:30, H22

Non-Hermitian systems and topology: A transfer matrix perspective — •Vatsal Dwivedi¹ and Flore Kunst² — ¹Institut für theoretische Physik, Zülpicher Straße 77a, 50937 Köln — ²Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm

Non-Hermitian systems are known to exhibit features strikingly different from their Hermitian counterparts, a quintessential example being the lack of a bulk-boundary correspondence in the conventional sense. In this talk, I will describe a transfer matrix approach to these systems. The algebraic structure of the transfer matrix and a Riemann surface associated with the complex energies provide a clear and intuitive picture of various topological aspects of these systems.