Mixed singlet-triplet superconducting state within the moiré $t$-$J$-$U$ model as applied to the description of twisted WSe${}_2$ bilayer

Abstract

We analyze an analog of the $t$-$J$-$U$ model as applied to the description of a single moiré flat band of twisted WSe${}_2$ bilayer. To take into account the correlation effects induced by a significant strength of the Coulomb repulsion, we use the Gutzwiller approach and compare it with the results obtained by the Hartree-Fock method. We discuss in detail the graduate appearance of a two dome structure of the superconducting state in the phase diagram by systematically increasing the Coulomb repulsion integral, $U$. The two superconducting domes residing on both sides of a Mott insulating state can be reproduced for a realistic parameter range in agreement with the available experimental data. According to our analysis the paired state has a highly unconventional character with a mixed $d+id$ (singlet) and $p-ip$ (triplet) symmetry. Both components of the mixed paired state are of comparable amplitudes. However, as shown here, a transition between pure singlet and pure triplet pairing should be possible in the considered system by tuning the gate voltage, which controls the magnitude of the valley-dependent spin-splitting in the system.

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• Superconductivity in twisted bilayer WSe${}_2$
• Superconductivity in twisted transition metal dichalcogenide homobilayers
• Theory of Correlated Insulators and Superconductor at $\nu =1$ in Twisted WSe${}_2$
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Topological superconductivity with mixed singlet-triplet pairing in moiré transition-metal-dichalcogenide bilayers
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• Moiré Band Engineering in Twisted Trilayer WSe2
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
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• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$