Probing non-Hermitian skin effect and non-Bloch phase transitions
In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry-breaking phase transitions in systems with open boundaries. Recently, it has been shown tha...
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| Format: | Article |
| Language: | English |
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American Physical Society
2019-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.023013 |
| _version_ | 1827286403583574016 |
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| author | Stefano Longhi |
| author_facet | Stefano Longhi |
| author_sort | Stefano Longhi |
| collection | DOAJ |
| description | In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry-breaking phase transitions in systems with open boundaries. Recently, it has been shown that a correct description requires one to extend Bloch band theory into the complex plane. A still open question is whether the non-Hermitian skin effect and non-Bloch symmetry-breaking phase transitions can be probed by real-space wave dynamics far from edges, which is entirely governed by ordinary Bloch bands. Here it is shown that the Lyapunov exponent in the long-time behavior of bulk wave dynamics can generally reveal non-Bloch symmetry-breaking phase transitions and the existence of the non-Hermitian skin effect. |
| first_indexed | 2024-04-24T10:30:44Z |
| format | Article |
| id | doaj.art-e583a36f3a414e2d9ace3a58d1aa8010 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:30:44Z |
| publishDate | 2019-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-e583a36f3a414e2d9ace3a58d1aa80102024-04-12T16:45:38ZengAmerican Physical SocietyPhysical Review Research2643-15642019-09-011202301310.1103/PhysRevResearch.1.023013Probing non-Hermitian skin effect and non-Bloch phase transitionsStefano LonghiIn non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory and Bloch topological invariants fail to correctly predict energy spectra, topological boundary states, and symmetry-breaking phase transitions in systems with open boundaries. Recently, it has been shown that a correct description requires one to extend Bloch band theory into the complex plane. A still open question is whether the non-Hermitian skin effect and non-Bloch symmetry-breaking phase transitions can be probed by real-space wave dynamics far from edges, which is entirely governed by ordinary Bloch bands. Here it is shown that the Lyapunov exponent in the long-time behavior of bulk wave dynamics can generally reveal non-Bloch symmetry-breaking phase transitions and the existence of the non-Hermitian skin effect.http://doi.org/10.1103/PhysRevResearch.1.023013 |
| spellingShingle | Stefano Longhi Probing non-Hermitian skin effect and non-Bloch phase transitions Physical Review Research |
| title | Probing non-Hermitian skin effect and non-Bloch phase transitions |
| title_full | Probing non-Hermitian skin effect and non-Bloch phase transitions |
| title_fullStr | Probing non-Hermitian skin effect and non-Bloch phase transitions |
| title_full_unstemmed | Probing non-Hermitian skin effect and non-Bloch phase transitions |
| title_short | Probing non-Hermitian skin effect and non-Bloch phase transitions |
| title_sort | probing non hermitian skin effect and non bloch phase transitions |
| url | http://doi.org/10.1103/PhysRevResearch.1.023013 |
| work_keys_str_mv | AT stefanolonghi probingnonhermitianskineffectandnonblochphasetransitions |