Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
| Autor: | Denner, M. Michael, Neupert, Titus, Schindler, Frank |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | J. Phys. Mater. 6 045006 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/2515-7639/acf2ca |
| Popis: | The classification of point gap topology in all local non-Hermitian symmetry classes has been recently established. However, many entries in the resulting periodic table have only been discussed in a formal setting and still lack a physical interpretation in terms of their bulk-boundary correspondence. Here, we derive the edge signatures of all two-dimensional phases with intrinsic point gap topology. While in one dimension point gap topology invariably leads to the non-Hermitian skin effect, non-Hermitian boundary physics is significantly richer in two dimensions. We find two broad classes of non-Hermitian edge states: (1) Infernal points, where a skin effect occurs only at a single edge momentum, while all other edge momenta are devoid of edge states. Under semi-infinite boundary conditions, the point gap thereby closes completely, but only at a single edge momentum. (2) Non-Hermitian exceptional point dispersions, where edge states persist at all edge momenta and furnish an anomalous number of symmetry-protected exceptional points. Surprisingly, the latter class of systems allows for a finite, non-extensive number of edge states with a well defined dispersion along all generic edge terminations. Instead, the point gap only closes along the real and imaginary eigenvalue axes, realizing a novel form of non-Hermitian spectral flow. Comment: 6 pages, 3 figures, 13 pages supplementary material |
| Databáze: | arXiv |
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