Chiral $p$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory

Abstract

We apply cluster dynamical mean field theory with an exact-diagonalization impurity solver to a Hubbard model for magic-angle twisted bilayer graphene, built on the tight-binding model proposed by Kang and Vafek (2018), which applies to the magic angle $1.30^{\circ }$. We find that triplet superconductivity with $p+ip$ symmetry is stabilized by CDMFT, as well as a subdominant singlet $d+id$ state. A minimum of the order parameter exists close to quarter-filling and three-quarter filling, as observed in experiments.

arXiv comment15 pages, 5 figures

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• Evolution of Superconductivity in Twisted Graphene Multilayers
• Quantifying the charge carrier interaction in metallic twisted graphene superlattices
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Quantum Monte Carlo study of magnetism and chiral d+id-wave superconductivity in twisted bilayer graphene
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Magnetism of magic-angle twisted bilayer graphene
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene