Topological superconductivity with emergent vortex lattice in twisted semiconductors
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914333994254336 |
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| author | Guerci, Daniele Abouelkomsan, Ahmed Fu, Liang |
| author_facet | Guerci, Daniele Abouelkomsan, Ahmed Fu, Liang |
| contents | The coexistence of superconductivity and fractional quantum anomalous Hall (FQAH) effect has recently been observed in twisted MoTe$_2$ and theoretically demonstrated in a model of repulsively interacting electrons under an emergent magnetic field arising from the layer pseudospin texture in moiré superlattice. Here, we show that this superconducting state is a chiral $f$-wave superconductor hosting an array of $double$ vortices, which are induced by the emergent magnetic field with $h/e$ flux quanta per moiré unit cell. This superconducting vortex lattice state is topological and features Chern number $-1/2$, giving rise to a half-integer thermal Hall conductance. Our theory provides a common mechanism and unified understanding of FQAH and topological superconductivity, with a rich phase diagram controlled by the spatial modulation of the emergent magnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15106 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological superconductivity with emergent vortex lattice in twisted semiconductors Guerci, Daniele Abouelkomsan, Ahmed Fu, Liang Superconductivity Strongly Correlated Electrons The coexistence of superconductivity and fractional quantum anomalous Hall (FQAH) effect has recently been observed in twisted MoTe$_2$ and theoretically demonstrated in a model of repulsively interacting electrons under an emergent magnetic field arising from the layer pseudospin texture in moiré superlattice. Here, we show that this superconducting state is a chiral $f$-wave superconductor hosting an array of $double$ vortices, which are induced by the emergent magnetic field with $h/e$ flux quanta per moiré unit cell. This superconducting vortex lattice state is topological and features Chern number $-1/2$, giving rise to a half-integer thermal Hall conductance. Our theory provides a common mechanism and unified understanding of FQAH and topological superconductivity, with a rich phase diagram controlled by the spatial modulation of the emergent magnetic field. |
| title | Topological superconductivity with emergent vortex lattice in twisted semiconductors |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2602.15106 |