Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917774451802112 |
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| author | Wu, Ang-Kun Sarkar, Siddhartha Wan, Xiaohan Sun, Kai Lin, Shi-Zeng |
| author_facet | Wu, Ang-Kun Sarkar, Siddhartha Wan, Xiaohan Sun, Kai Lin, Shi-Zeng |
| contents | The quantum metric of single-particle wave functions in topological flatbands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states. Here, we unravel that the quantum metric causes the many-body Chern number of the FCI states to deviate sharply from the expected value associated with partial filling of the single-particle topological flatband. Furthermore, the variation of the quantum metric in momentum space induces band dispersion through interactions, affecting the stability of the FCI states. This causes a reentrant transition into the Fermi liquid from the FCI phase as the interaction strength increases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators Wu, Ang-Kun Sarkar, Siddhartha Wan, Xiaohan Sun, Kai Lin, Shi-Zeng Strongly Correlated Electrons Mesoscale and Nanoscale Physics The quantum metric of single-particle wave functions in topological flatbands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states. Here, we unravel that the quantum metric causes the many-body Chern number of the FCI states to deviate sharply from the expected value associated with partial filling of the single-particle topological flatband. Furthermore, the variation of the quantum metric in momentum space induces band dispersion through interactions, affecting the stability of the FCI states. This causes a reentrant transition into the Fermi liquid from the FCI phase as the interaction strength increases. |
| title | Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.07894 |