説明
Non-Hermiticity gives rise to unique topological phases that have no counterparts in Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one dimension while no topological phases appear in one-dimensional Hermitian systems. Despite the recent considerable interest, the intrinsic non-Hermitian topological phases have been mainly investigated in noninteracting systems described by band theory. It has been unclear whether they survive or reduce in the presence of many-body interactions. Here, we demonstrate that the intrinsic non-Hermitian topological phases in one dimension survive even in the presence of many-body interactions. We formulate a many-body topological invariant by the winding of the complex-valued many-body spectrum in terms of a U (1) gauge field (magnetic flux). As an illustrative example, we investigate the interacting Hatano-Nelson model and find a unique topological phase and skin effect induced by many-body interactions.
12 pages, 4 figures
収録刊行物
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- Physical Review B
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Physical Review B 105 (16), 2022-04-19
American Physical Society (APS)
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詳細情報 詳細情報について
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- CRID
- 1360298336550087040
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- ISSN
- 24699969
- 24699950
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE