  Twisted two-dimensional (2D) layered materials exhibit many novel and unique
phenomena, such as insulation and superconductivity transition, and
superlubricity. However, the effect of twisting on these phenomena remains
unclear. A key challenge is the lack of linkage between the twisting and the
material properties. Here, twisting induced moir\'e pattern is directly
correlated with the configuration entropy of the bilayer graphene, based on
which a new twisting phase transition in layered materials is uncovered. Most
critically, the twisting phase transition is found size dependent. The
diversity of phase transition among the AB stacking and the twisted phases
could provide insights into the twistronics and twistribology.
