Non-Hermitian band topology with generalized inversion symmetry
| Autor: | Ryo Takahashi, Ryo Okugawa, Kazuki Yokomizo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Condensed Matter - Mesoscale and Nanoscale Physics Generalization Point reflection Lattice (group) FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology Topology 01 natural sciences Hermitian matrix Integer Simple (abstract algebra) 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 010306 general physics 0210 nano-technology Topology (chemistry) Eigenvalues and eigenvectors Optics (physics.optics) Physics - Optics |
| Popis: | Non-Hermitian skin effects and exceptional points are topological phenomena characterized by integer winding numbers. In this study, we give methods to theoretically detect skin effects and exceptional points by generalizing inversion symmetry. The generalization of inversion symmetry is unique to non-Hermitian systems. We show that parities of the winding numbers can be determined from energy eigenvalues on the inversion-invariant momenta when generalized inversion symmetry is present. The simple expressions for the winding numbers allow us to easily analyze skin effects and exceptional points in non-Hermitian bands. We also demonstrate the methods for (second-order) skin effects and exceptional points by using lattice models. 12 pages, 7 figures |
| Databáze: | OpenAIRE |
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