Orbital Chern Insulator at $ν=-2$ in Twisted MoTe$_{2}$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909070690091008 |
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| author | Fan, Feng-Ren Xiao, Cong Yao, Wang |
| author_facet | Fan, Feng-Ren Xiao, Cong Yao, Wang |
| contents | In twisted MoTe$_{2}$, latest transport measurement has reported observation of quantum anomalous Hall effect at hole filling $ν=-1$, which undergoes a topological phase transition to a trivial ferromagnet as layer hybridization gets suppressed by interlayer bias $D$. Here we show that this underlies the existence of an orbital Chern insulating state with gate ($D$) switchable sign in an antiferromagtic spin background at hole filling $ν=-2$. From momentum-space Hartree Fock calculations, we find this state has a topological phase diagram complementary to that of the $ν=-1$ one: by sweeping $D$ from negative to positive, the Chern number of this $ν=-2$ state can be switched between $+1$, $0$, and $-1$, accompanied by a sign change of a sizable orbital magnetization. In range of $D$ where this antiferronagnet is the ground state, the orbital magnetization allows magnetic field initialization of the spin antiferromagnetic order and the Chern number. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_11454 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Orbital Chern Insulator at $ν=-2$ in Twisted MoTe$_{2}$ Fan, Feng-Ren Xiao, Cong Yao, Wang Strongly Correlated Electrons Materials Science In twisted MoTe$_{2}$, latest transport measurement has reported observation of quantum anomalous Hall effect at hole filling $ν=-1$, which undergoes a topological phase transition to a trivial ferromagnet as layer hybridization gets suppressed by interlayer bias $D$. Here we show that this underlies the existence of an orbital Chern insulating state with gate ($D$) switchable sign in an antiferromagtic spin background at hole filling $ν=-2$. From momentum-space Hartree Fock calculations, we find this state has a topological phase diagram complementary to that of the $ν=-1$ one: by sweeping $D$ from negative to positive, the Chern number of this $ν=-2$ state can be switched between $+1$, $0$, and $-1$, accompanied by a sign change of a sizable orbital magnetization. In range of $D$ where this antiferronagnet is the ground state, the orbital magnetization allows magnetic field initialization of the spin antiferromagnetic order and the Chern number. |
| title | Orbital Chern Insulator at $ν=-2$ in Twisted MoTe$_{2}$ |
| topic | Strongly Correlated Electrons Materials Science |
| url | https://arxiv.org/abs/2308.11454 |