Band mixing and particle-hole asymmetry in moiré fractional Chern insulators
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908975903014912 |
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| author | Morales-Durán, Nicolás Shi, Jingtian Voinea, Cristian Potasz, Paweł Cano, Jennifer |
| author_facet | Morales-Durán, Nicolás Shi, Jingtian Voinea, Cristian Potasz, Paweł Cano, Jennifer |
| contents | We investigate the effect of remote band mixing on the stability of fractional Chern insulators in a family of models that approximate continuum descriptions of moiré materials. Our results suggest that the experimentally observed asymmetry between filling fractions $ν=1/3$ and $ν=2/3$ in twisted MoTe$_2$ originates from a competition between a fractional Chern insulator, an electron Wigner crystal, and a hole Wigner crystal. In the absence of band mixing, the leading instability at $ν= 1/3$ is the electron crystal, whereas at $ν= 2/3$ the main competing phase is the hole crystal. Remote band mixing substantially lowers the energy of the electron crystal but has only a weak effect on the hole crystal. Consequently, it destabilizes the fractional Chern insulator at $ν=1/3$ more strongly than at $ν=2/3$. This mechanism also provides an explanation for the emergence of re-entrant integer quantum anomalous Hall states in moiré MoTe$_2$ for fillings $ν>1/2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16847 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Band mixing and particle-hole asymmetry in moiré fractional Chern insulators Morales-Durán, Nicolás Shi, Jingtian Voinea, Cristian Potasz, Paweł Cano, Jennifer Strongly Correlated Electrons We investigate the effect of remote band mixing on the stability of fractional Chern insulators in a family of models that approximate continuum descriptions of moiré materials. Our results suggest that the experimentally observed asymmetry between filling fractions $ν=1/3$ and $ν=2/3$ in twisted MoTe$_2$ originates from a competition between a fractional Chern insulator, an electron Wigner crystal, and a hole Wigner crystal. In the absence of band mixing, the leading instability at $ν= 1/3$ is the electron crystal, whereas at $ν= 2/3$ the main competing phase is the hole crystal. Remote band mixing substantially lowers the energy of the electron crystal but has only a weak effect on the hole crystal. Consequently, it destabilizes the fractional Chern insulator at $ν=1/3$ more strongly than at $ν=2/3$. This mechanism also provides an explanation for the emergence of re-entrant integer quantum anomalous Hall states in moiré MoTe$_2$ for fillings $ν>1/2$. |
| title | Band mixing and particle-hole asymmetry in moiré fractional Chern insulators |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2604.16847 |