Chiral and nodal superconductors in the t−J model with valley contrasting flux on a triangular moiré lattice
Boran Zhou, Ya-Hui Zhang
DOI 10.1103/PhysRevB.108.155111 · Physical Review B
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Abstract
Recent experimental progress has made it possible to simulate spin-1/2 Hubbard model on triangular lattice in moiré materials formed by transition metal dichalcogenide (TMD) heterobilayer or homobilayer. In twisted TMD homobilayer, a vertical electric field can induce a valley contrasting flux in the hopping term. In this paper we study possible superconductors from a t−J model with valley contrasting flux Φ using the slave boson mean-field theory. We obtain a phase diagram with doping x and Φ. A finite Φ breaks spin rotation symmetry and the pairing symmetry is a superposition of spin singlet d−id and spin triplet p+ip. There are two topological phase transitions when tuning Φ from 0 to π, with three Dirac nodes at one transition and one single Dirac node at the other transition. We also discuss the effects of Van Hove singularity and a three-site correlated hopping term on the pairing strength. Lastly, we demonstrate that a small anisotropy term breaking the C3 rotation can lead to a time-reversal invariant nodal superconductor connected to the dx2−y2 superconductor on square lattice.
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