Displacement-field-tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure
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| Format: | Preprint |
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2023
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| _version_ | 1866913209773981696 |
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| author | Scammell, Harley D. Scheurer, Mathias S. |
| author_facet | Scammell, Harley D. Scheurer, Mathias S. |
| contents | We investigate the superconducting properties of inversion-symmetric twisted trilayer graphene by considering different parent states, including spin-singlet, triplet, and SO(4) degenerate states, with or without nodal points. By placing transition metal dichalcogenide layers above and below twisted trilayer graphene, spin-orbit coupling is induced in TTLG and, due to inversion symmetry, the spin-orbit coupling does not spin-split the bands. The application of a displacement field ($D_0$) breaks the inversion symmetry and creates spin-splitting. We analyze the evolution of the superconducting order parameters in response to the combined spin-orbit coupling and $D_0$-induced spin-splitting. Utilizing symmetry analysis combined with both a direct numerical evaluation and a complementary analytical study of the gap equation, we provide a comprehensive understanding of the influence of spin-orbit coupling and $D_0$ on superconductivity. These results contribute to a better understanding of the superconducting order in twisted trilayer graphene. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_10530 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Displacement-field-tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure Scammell, Harley D. Scheurer, Mathias S. Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity We investigate the superconducting properties of inversion-symmetric twisted trilayer graphene by considering different parent states, including spin-singlet, triplet, and SO(4) degenerate states, with or without nodal points. By placing transition metal dichalcogenide layers above and below twisted trilayer graphene, spin-orbit coupling is induced in TTLG and, due to inversion symmetry, the spin-orbit coupling does not spin-split the bands. The application of a displacement field ($D_0$) breaks the inversion symmetry and creates spin-splitting. We analyze the evolution of the superconducting order parameters in response to the combined spin-orbit coupling and $D_0$-induced spin-splitting. Utilizing symmetry analysis combined with both a direct numerical evaluation and a complementary analytical study of the gap equation, we provide a comprehensive understanding of the influence of spin-orbit coupling and $D_0$ on superconductivity. These results contribute to a better understanding of the superconducting order in twisted trilayer graphene. |
| title | Displacement-field-tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2308.10530 |