Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model

Bilayer Moir\'e structures are a highly tunable laboratory to investigate the physics of strongly correlated electron systems. transition metal dichalcogenides at low-energies, in particular, believed be described by single narrow band Hubbard model on triangular lattice with spin-orbit coupling. Motivated recent experimental evidence for superconductivity twisted bilayer materials, we possible superconducting pairings two-dimensional Rashba-Hubbard model. Using random-phase approximation presence nearest and next-nearest neighbor hopping, analyze structure spin fluctuations symmetry gap function. We show that Rashba coupling favors ferromagnetic which strengthen triplet superconductivity. If parity is violated due absence spatial inversion symmetry, singlet (d-wave) (p-wave) channels will mixed. Moreover, time-reversal can spontaneously broken leading chiral state. Finally, consider quasiparticle interference as technique observe symmetry.