Wavefunction approach to the fractional anomalous Hall crystal
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917772809732096 |
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| author | Tan, Tixuan May-Mann, Julian Devakul, Trithep |
| author_facet | Tan, Tixuan May-Mann, Julian Devakul, Trithep |
| contents | We propose fractional anomalous Hall crystals (FAHCs) as possible ground states of strongly interacting electrons in parent bands with Berry curvature. FAHCs are exotic states of matter that spontaneously break continuous translation symmetry to form a fractional Chern insulator. We construct a unified family of variational wavefunctions that describe FAHCs and their competing states in the presence of uniform parent Berry curvature. We calculate their variational energy with Coulomb interactions semi-analytically in the thermodynamic limit. Our analysis reveals that FAHCs can be energetically favorable over both Wigner crystals and integer anomalous Hall crystals for sufficiently strong interactions or flat dispersion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wavefunction approach to the fractional anomalous Hall crystal Tan, Tixuan May-Mann, Julian Devakul, Trithep Mesoscale and Nanoscale Physics Strongly Correlated Electrons We propose fractional anomalous Hall crystals (FAHCs) as possible ground states of strongly interacting electrons in parent bands with Berry curvature. FAHCs are exotic states of matter that spontaneously break continuous translation symmetry to form a fractional Chern insulator. We construct a unified family of variational wavefunctions that describe FAHCs and their competing states in the presence of uniform parent Berry curvature. We calculate their variational energy with Coulomb interactions semi-analytically in the thermodynamic limit. Our analysis reveals that FAHCs can be energetically favorable over both Wigner crystals and integer anomalous Hall crystals for sufficiently strong interactions or flat dispersion. |
| title | Wavefunction approach to the fractional anomalous Hall crystal |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2409.06775 |