Engineering Moiré Kagome Superlattices in Twisted Transition Metal Dichalcogenides

We propose a scheme to achieve breathing kagome moiré superlattices using three twisted layers of transition metal dichalcogenides. In this scheme, the top and bottom layers are twisted relative to the middle layer by small angles $\theta$ and 2$\theta$ respectively, generating a kagome-like moiré potential for the middle layer with suitable parameters. The moiré band structures of these systems are calculated within the continuum model and show good resemblance to the breathing kagome band structure, including the flat band, Dirac points with tunable gap, and van Hove singularities. This system serves as a new venue to explore strongly correlated physics on kagome lattices which offers more flexibility and tunability in band structure, charge density, and interaction strength.