Electron transport properties of order-disorder separated two-dimensional bilayer systems

In the framework of electronic tight-binding model order-disorder separated (ODS) bilayer square lattice (BSL) and by calculating density states (DOS), participation number eigen-wavefunctions quantum diffusion, we systematically study effects stacking interface structure, strength interlayer coupling degree disorder on electron transport properties two-dimensional systems. Our results show that for ODS-BSL <i>AA</i>-stacking in regime weak coupling, always possesses a single energy band with localized its tail, extended or critical similar to ones center region persistent metal-insulator transitions associated mobility edges under strong disorder. leads exist tails occur regions, while formation due overlapping coupling-induced two bands increasing numbers as increases. The <i>AB</i>-stacking supports region, regardless strengths both systems <i>AA</i>- <i>AB</i>- stackings, diffusion undergoes an anomalous transition from weakening enhancing behaviors ODS-BSL, exhibits super-diffusion contribution ones. sub-diffusion existence states. numerical also hexagonal same those revealed