High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913223929757696 |
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| author | Liu, Yu-Bo Zhang, Yongyou Chen, Wei-Qiang Yang, Fan |
| author_facet | Liu, Yu-Bo Zhang, Yongyou Chen, Wei-Qiang Yang, Fan |
| contents | We study the largest-angle twisted homo-bilayer (LA-THB) systems, hosting Moiréless quasi-crystal (QC) structure. We propose to use these materials to generate high-angular-momentum (HAM) topological superconductivities (TSCs) protected by their QC symmetries absent on conventional crystalline materials. This proposal is based on our universal Ginzburg-Landau theory based analysis which yields the general conclusion that, when each $D_n$-symmetric ($n$ is even) monolayer hosts SC with pairing angular momentum $l\le \frac{n}{2}$, the interlayer Josephson coupling will induce SC with pairing angular momentum $L=l$ or $L=n-l$ in the LA-THB, determined by microscopic details. The latter one is just the HAM TSC if $l>0$. Based on our revised perturbational-band theory, we develop general microscopic framework to study the QC LA-THBs involving electron-electron interactions, adopting which we study three examples, i.e. the 30$^\circ$- twisted bilayer graphene, the 30$^\circ$- twisted bilayer BC$_3$, and the 45$^\circ$- twisted bilayer cuprates. The $g+ig$- $h+ih$- and $d+id$- TSCs with HAM $L=4,5$ and $2$ can emerge in certain doping regimes in these systems, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_01656 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems Liu, Yu-Bo Zhang, Yongyou Chen, Wei-Qiang Yang, Fan Superconductivity We study the largest-angle twisted homo-bilayer (LA-THB) systems, hosting Moiréless quasi-crystal (QC) structure. We propose to use these materials to generate high-angular-momentum (HAM) topological superconductivities (TSCs) protected by their QC symmetries absent on conventional crystalline materials. This proposal is based on our universal Ginzburg-Landau theory based analysis which yields the general conclusion that, when each $D_n$-symmetric ($n$ is even) monolayer hosts SC with pairing angular momentum $l\le \frac{n}{2}$, the interlayer Josephson coupling will induce SC with pairing angular momentum $L=l$ or $L=n-l$ in the LA-THB, determined by microscopic details. The latter one is just the HAM TSC if $l>0$. Based on our revised perturbational-band theory, we develop general microscopic framework to study the QC LA-THBs involving electron-electron interactions, adopting which we study three examples, i.e. the 30$^\circ$- twisted bilayer graphene, the 30$^\circ$- twisted bilayer BC$_3$, and the 45$^\circ$- twisted bilayer cuprates. The $g+ig$- $h+ih$- and $d+id$- TSCs with HAM $L=4,5$ and $2$ can emerge in certain doping regimes in these systems, respectively. |
| title | High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2201.01656 |