Engineering New Moire Heterostructures in Twisted Trilayer Systems

We introduce a method of engineering moire heterostructures in trilayer systems without requiring near-matched lattice constants, allowing for a wider variety of material combinations. We call these structures "intrinsically trilayer moire" because they do not naturally fit into the "moire of moire" paradigm used for systems like twisted trilayer graphene. The local structures of these patterns are quasicrystalline, but they exhibit a crystalline moire pattern. This talk focuses on explaining the emergence of these patterns and briefly examining their local configuration space.