Anatomy of higher-order non-Hermitian skin and boundary modes
The anomalous bulk-boundary correspondence in non-Hermitian systems featuring an intricate interplay between skin and boundary modes has attracted enormous theoretical and experimental attention. Still, in dimensions higher than one, this interplay remains much less understood. Here we provide insig...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023233 |
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| _version_ | 1850231280586719232 |
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| author | Fan Yang Emil J. Bergholtz |
| author_facet | Fan Yang Emil J. Bergholtz |
| author_sort | Fan Yang |
| collection | DOAJ |
| description | The anomalous bulk-boundary correspondence in non-Hermitian systems featuring an intricate interplay between skin and boundary modes has attracted enormous theoretical and experimental attention. Still, in dimensions higher than one, this interplay remains much less understood. Here we provide insights from exact analytical solutions of a large class of models in any dimension d, with open boundaries in d_{c}≤d directions, and by tracking their topological origin. Specifically, we show that amoeba theory accounting for the separation gaps of the bulk modes augmented with higher-dimensional generalizations of the biorthogonal polarization and the generalized Brillouin zone approaches accounting for the surface gaps of boundary modes provide a comprehensive understanding of these systems. |
| format | Article |
| id | doaj-art-d2ca09095d074c649fd9ab30dcfacce2 |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d2ca09095d074c649fd9ab30dcfacce22025-08-20T02:03:35ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202323310.1103/PhysRevResearch.7.023233Anatomy of higher-order non-Hermitian skin and boundary modesFan YangEmil J. BergholtzThe anomalous bulk-boundary correspondence in non-Hermitian systems featuring an intricate interplay between skin and boundary modes has attracted enormous theoretical and experimental attention. Still, in dimensions higher than one, this interplay remains much less understood. Here we provide insights from exact analytical solutions of a large class of models in any dimension d, with open boundaries in d_{c}≤d directions, and by tracking their topological origin. Specifically, we show that amoeba theory accounting for the separation gaps of the bulk modes augmented with higher-dimensional generalizations of the biorthogonal polarization and the generalized Brillouin zone approaches accounting for the surface gaps of boundary modes provide a comprehensive understanding of these systems.http://doi.org/10.1103/PhysRevResearch.7.023233 |
| spellingShingle | Fan Yang Emil J. Bergholtz Anatomy of higher-order non-Hermitian skin and boundary modes Physical Review Research |
| title | Anatomy of higher-order non-Hermitian skin and boundary modes |
| title_full | Anatomy of higher-order non-Hermitian skin and boundary modes |
| title_fullStr | Anatomy of higher-order non-Hermitian skin and boundary modes |
| title_full_unstemmed | Anatomy of higher-order non-Hermitian skin and boundary modes |
| title_short | Anatomy of higher-order non-Hermitian skin and boundary modes |
| title_sort | anatomy of higher order non hermitian skin and boundary modes |
| url | http://doi.org/10.1103/PhysRevResearch.7.023233 |
| work_keys_str_mv | AT fanyang anatomyofhigherordernonhermitianskinandboundarymodes AT emiljbergholtz anatomyofhigherordernonhermitianskinandboundarymodes |