Highlights

Twisted bilayers of two-dimensional materials show remarkable dynamical and phononic properties. We study low-frequency and high-frequency modes in twisted bilayers of transition metal dichalogenides to demonstrate a transition from superlubric to pinned phase and ultrasoft acoustic-like modes.

Twisted bilayers of two-dimensional materials have been shown to host strong correlations, including Mott-insulating phase. We study electronic structure of twisted bilayers of transition metal dichalcogenides.