Phase diagram of twisted WSe2 with competing superconductivity, charge and magnetic density waves

Recent experiments revealed a rich phase diagram in twisted transition metal dichalcogenides. Motivated by the observation of superconductivity in twisted WSe2, we study the phase diagram of this system as a function of electron density and displacement field, examining the competition between different instabilities, such as superconductivity, charge and magnetic orders on equal footing. We find that at a twist angle of 5 degrees, superconductivity generated by screened electron-electron interactions is in good agreement with the experimental results. We show that superconductivity is enhanced near the van Hove singularity, which is tunable through the displacement field with a dome-like dependence on density. By self-consistently solving the gap equation, we determine that for a range of displacement fields, the ground state is a d + p-wave, chiral, time-reversal breaking superconductor. Outside of this region, we examine the role of competing states and propose additional experimental probes for uncovering the rich physics in Moire TMDs and the role of electron-electron interactions