Pair density wave and reentrant superconducting tendencies originating from valley polarization

Abstract

For dilute electrons in two valleys at the K points of a triangular lattice Brillouin Zone, the authors identify multiple singlet superconducting tendencies that are comparable in strength and tunable by an in-plane (Zeeman) magnetic field. The results suggest a route to pair-density-wave order at zero field, a large but finite violation of the Pauli limit, and the dramatic possibility of reentrant superconductivity at high fields. In part, the results are reminiscent of observations in a recent experiment on magic-angle twisted trilayer graphene [nature_595_526_2021]. The approach adopted can be easily generalized.

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