Displacement field tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure

Harley D. Scammell; Mathias S. Scheurer

doi:10.1103/PhysRevB.109.035159

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Displacement field tunable superconductivity in an inversion-symmetric twisted van der Waals heterostructure

Harley D. Scammell, Mathias S. Scheurer

DOI 10.1103/PhysRevB.109.035159 · Physical Review B

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Abstract

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 (D0) 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 D0-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 D0 on superconductivity. These results contribute to a better understanding of the superconducting order in twisted trilayer graphene.