Fig. 3

a Distribution of wave functions in real space along layers of perfectly aligned uniform 6L MoS₂. The wave functions for each conduction band at point K are represented by different colors, as indicated in the inset, where n = 1 corresponds to CBM. b Same as a but for misaligned 6L MoS₂. Here, 2L MoS₂ (indicated by black and red spheres) is shifted and misaligned with respect to the remaining four layers (4L) to create the 2L–4L interface. Conduction-band wave functions are mixed along layers in a, whereas in b they are separated from each other at the 2L–4L interface. Surface-potential image of c single MoS₂ flake comprising two to 10 layers and d MoS₂ flake comprising two and three layers covered by transferred four-layer MoS₂. Measured thickness and potential values corresponding to e single flake and f covered flake. Covered region (six layer) exhibited identical values to original flake (four layer). g Schematic of rotated LMJ and energy-band alignment of layer-dependent MoS₂ LMJ. h Misalignment of misorientationally stacked MoS₂ layers in reciprocal space. i Transmission coefficient as a function of energy computed for the various interlayer conditions