“…Two dimensional (2D) materials are potentially the most promising materials for future device applications but in practice, waferscale single crystals of various 2D materials are needed to realize these applications 1,2,3,4 . Recently, the seamless coalescence of millions of unidirectionally aligned islands of a two-dimensional (2D) material epitaxially grown on a substrate has been successfully used to synthesize wafer-scale single crystals of graphene 5,6,7 , hexagonal boron nitride 8,9 and MoS 2 10 , This strategy is expected to be generalized to grow various 2D single crystals in the near future. Nevertheless, the unique behavior of 2D materials growth, different from that predicted by classical theory of epitaxy, necessitates the development of a general theory for the epitaxial growth of 2D materials 5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 .…”