Unconventional Correlations in TMD Moiré Heterostructures with Functional RG

We study the effect of electron-electron interactions in a variety of moiré heterostructures composed of e.g. WSe2, PtSe2, SnS. The starting point of our analysis is given by few-band tight-binding models that accurately reproduce the flat bands obtained from ab initio simulations. Based on these, we add onsite Coulomb interactions and treat the interacting models using the functional renormalization group. Driven by the interactions, we find a plethora of different spin-density waves and unconventional superconducting instabilities. The correlated phases intrinsically couple spin and momentum degrees of freedom arising from the strong SOC inherent to many TMDs. We demonstrate that TMD moiré heterostructures provide a versatile platform to engineer unconventional, correlated phases of matter and that these phases show topological properties.