Thus, using such a simplistic Fourier domain argument for the perturbation, it is possible to distinguish two distinct extremes of CDW transitions. The state that manifests with weak perturbation is called incommensurate, as there is no well-defined lattice index; and the strong perturbation is called commensurate. However, this dichotomy cannot be applied to any material system. Layered materials, such as transition metal dichalcogenides (TMDs,) show much more complicated phase diagrams that include superconductivity, spin-density waves, and insulator transitions [2],[3]. It is also possible to observe phase transitions between commensurate and incommensurate CDW states with near-commensurate intermediate states in between [1].