The valence flat bands in transition metal dichalcogenide (TMD) heterobilayers are shown to exhibit strong intralayer spin-orbit coupling. I show that symmetry constrains the spin-dependent complex phase of hopping terms an effective tight-binding model bands. A perpendicular electric field causes interlayer hybridization, such becomes equivalent Kane-Mele topological insulators. proposed can b...

At $n=3/4$ filling of the moir\'e flat band, transition metal dichalcogenide bilayers will develop kagome charge order. We derive an effective spin model for resulting localized spins and find that its further neighbor interactions can be much less suppressed than corresponding electron hopping strength. Using density matrix renormalization group simulations, we study phase diagram and, realist...

Abstract Two-dimensional (2D) lateral heterojunctions between different transition metal dichalcogenides (TMDCs) have been realized in recent years. Homogeneous semiconducting TMDC layers are characterized by a topological invariant, their in-plane electric polarization. It suggests the possibility of one-dimensional (1D) metallic states at where value invariant changes. We study such 2D juncti...