Green's functions of multiband non-Hermitian systems
Green's functions of non-Hermitian systems play a fundamental role in various dynamical processes. Because non-Hermitian systems are sensitive to boundary conditions due to the non-Hermitian skin effect, open-boundary Green's functions are closely related to the non-Bloch band theory. Whil...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-10-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.043073 |
| _version_ | 1797210373233836032 |
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| author | Yu-Min Hu Zhong Wang |
| author_facet | Yu-Min Hu Zhong Wang |
| author_sort | Yu-Min Hu |
| collection | DOAJ |
| description | Green's functions of non-Hermitian systems play a fundamental role in various dynamical processes. Because non-Hermitian systems are sensitive to boundary conditions due to the non-Hermitian skin effect, open-boundary Green's functions are closely related to the non-Bloch band theory. While the exact formula of open-boundary Green's functions in single-band non-Hermitian systems proves to be an integral along the generalized Brillouin zone (GBZ), the proper generalization in generic multiband systems remains unclear. In this paper, we derive a formula of open-boundary Green's functions in multiband non-Hermitian systems by viewing the multiband GBZ on the Riemann surface. This formula can be applied to describe directional amplification in multiband systems, which can be verified at various experimental platforms. |
| first_indexed | 2024-04-24T10:09:34Z |
| format | Article |
| id | doaj.art-5bf6529e8aa348b8ba3e1b6309c8c2ca |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:34Z |
| publishDate | 2023-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-5bf6529e8aa348b8ba3e1b6309c8c2ca2024-04-12T17:35:21ZengAmerican Physical SocietyPhysical Review Research2643-15642023-10-015404307310.1103/PhysRevResearch.5.043073Green's functions of multiband non-Hermitian systemsYu-Min HuZhong WangGreen's functions of non-Hermitian systems play a fundamental role in various dynamical processes. Because non-Hermitian systems are sensitive to boundary conditions due to the non-Hermitian skin effect, open-boundary Green's functions are closely related to the non-Bloch band theory. While the exact formula of open-boundary Green's functions in single-band non-Hermitian systems proves to be an integral along the generalized Brillouin zone (GBZ), the proper generalization in generic multiband systems remains unclear. In this paper, we derive a formula of open-boundary Green's functions in multiband non-Hermitian systems by viewing the multiband GBZ on the Riemann surface. This formula can be applied to describe directional amplification in multiband systems, which can be verified at various experimental platforms.http://doi.org/10.1103/PhysRevResearch.5.043073 |
| spellingShingle | Yu-Min Hu Zhong Wang Green's functions of multiband non-Hermitian systems Physical Review Research |
| title | Green's functions of multiband non-Hermitian systems |
| title_full | Green's functions of multiband non-Hermitian systems |
| title_fullStr | Green's functions of multiband non-Hermitian systems |
| title_full_unstemmed | Green's functions of multiband non-Hermitian systems |
| title_short | Green's functions of multiband non-Hermitian systems |
| title_sort | green s functions of multiband non hermitian systems |
| url | http://doi.org/10.1103/PhysRevResearch.5.043073 |
| work_keys_str_mv | AT yuminhu greensfunctionsofmultibandnonhermitiansystems AT zhongwang greensfunctionsofmultibandnonhermitiansystems |