Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910788752506880 |
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| author | Zhang, Xinghai Wilson, Justin H. Foster, Matthew S. |
| author_facet | Zhang, Xinghai Wilson, Justin H. Foster, Matthew S. |
| contents | Multilayer moiré materials can exhibit topological electronic features yet are inherently quasiperiodic -- leading to wave function interference whose Anderson-localizing tendency can be mitigated by topology. We consider a quasiperiodic variant of the chiral Bistritzer-MacDonald model for twisted bilayer graphene with two incommensurate moiré potentials that serves as a toy model for twisted trilayer. We observe "filaments" linking magic angles with enhanced density of states and fractal wave functions that evade localization; states away from the filaments mimic fractal surface states of dirty topological superconductors. We demonstrate that topological quasiperiodicity can broadly enhance superconductivity without magic-angle fine-tuning. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene Zhang, Xinghai Wilson, Justin H. Foster, Matthew S. Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Superconductivity Multilayer moiré materials can exhibit topological electronic features yet are inherently quasiperiodic -- leading to wave function interference whose Anderson-localizing tendency can be mitigated by topology. We consider a quasiperiodic variant of the chiral Bistritzer-MacDonald model for twisted bilayer graphene with two incommensurate moiré potentials that serves as a toy model for twisted trilayer. We observe "filaments" linking magic angles with enhanced density of states and fractal wave functions that evade localization; states away from the filaments mimic fractal surface states of dirty topological superconductors. We demonstrate that topological quasiperiodicity can broadly enhance superconductivity without magic-angle fine-tuning. |
| title | Critical Filaments and Superconductivity in Quasiperiodic Twisted Bilayer Graphene |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Superconductivity |
| url | https://arxiv.org/abs/2406.06676 |