Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911678172495872 |
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| author | Liu, Xiaoyu Wang, Chong Chen, Haoran Zhang, Xiao-Wei Cao, Ting Xiao, Di |
| author_facet | Liu, Xiaoyu Wang, Chong Chen, Haoran Zhang, Xiao-Wei Cao, Ting Xiao, Di |
| contents | Recent observations of quantum anomalous Hall effects in moiré systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of orbital magnetization to Hartree-Fock states and show that the standard expression remains valid with Hartree-Fock orbitals and Hamiltonians. We then benchmark our theory against the Kane-Mele-Hubbard model in a weak field, which yields excellent agreement with direct numerical calculations. Applying our theory to twisted MoTe$_2$ bilayers, we find orbital magnetization of order one Bohr magneton per moiré cell with a non-monotonic twist-angle dependence. Our work establishes a general theory of orbital magnetization in interacting moiré systems and provides quantitative guidance for interpreting recent experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_01727 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides Liu, Xiaoyu Wang, Chong Chen, Haoran Zhang, Xiao-Wei Cao, Ting Xiao, Di Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons Recent observations of quantum anomalous Hall effects in moiré systems have revealed the emergence of interaction-driven ferromagnetism with significant orbital contributions. To capture this physics, we extend the modern theory of orbital magnetization to Hartree-Fock states and show that the standard expression remains valid with Hartree-Fock orbitals and Hamiltonians. We then benchmark our theory against the Kane-Mele-Hubbard model in a weak field, which yields excellent agreement with direct numerical calculations. Applying our theory to twisted MoTe$_2$ bilayers, we find orbital magnetization of order one Bohr magneton per moiré cell with a non-monotonic twist-angle dependence. Our work establishes a general theory of orbital magnetization in interacting moiré systems and provides quantitative guidance for interpreting recent experiments. |
| title | Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides |
| topic | Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2510.01727 |