Distinct topological excitonic insulators characterized by quantum geometry
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909916443181056 |
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| author | Liu, Zhuowei Wang, Rui Wang, Baigeng |
| author_facet | Liu, Zhuowei Wang, Rui Wang, Baigeng |
| contents | Theintertwining of electron-hole correlation and nontrivial topology is known to give rise to exotic topological
excitonic insulators. Here, we show that the involvement of quantum geometry can characterize more exotic
excitonic phases exhibiting physical properties that are not influenced by their topology but by geometry.
Starting from a topological band insulator and gradually reducing the band gap, many-body interaction can
initially generate a p + ip-wave and then an s-wave excitonic insulator. Interestingly, they bear the same Chern
number but exhibit completely different spin textures and magneto-optical Kerr responses, reflecting the intricate
geometric distinctions in their wave functions. We also propose to enhance the correlation effect via Floquet
engineering, which provides a systematic way to realize these topological excitonic insulators and their phase
transitions in the nonequilibrium steady states. Our results demonstrate correlated phenomena characterized by
quantum geometry, beyond the conventional topological classifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09305 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distinct topological excitonic insulators characterized by quantum geometry Liu, Zhuowei Wang, Rui Wang, Baigeng Strongly Correlated Electrons Theintertwining of electron-hole correlation and nontrivial topology is known to give rise to exotic topological excitonic insulators. Here, we show that the involvement of quantum geometry can characterize more exotic excitonic phases exhibiting physical properties that are not influenced by their topology but by geometry. Starting from a topological band insulator and gradually reducing the band gap, many-body interaction can initially generate a p + ip-wave and then an s-wave excitonic insulator. Interestingly, they bear the same Chern number but exhibit completely different spin textures and magneto-optical Kerr responses, reflecting the intricate geometric distinctions in their wave functions. We also propose to enhance the correlation effect via Floquet engineering, which provides a systematic way to realize these topological excitonic insulators and their phase transitions in the nonequilibrium steady states. Our results demonstrate correlated phenomena characterized by quantum geometry, beyond the conventional topological classifications. |
| title | Distinct topological excitonic insulators characterized by quantum geometry |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.09305 |