Electronic and transport properties of TMDC planar superlattices: effective Hamiltonian approach

We model and study the electronic and transport properties of a planar 2D superlattice (PSL) structure containing laterally arranged alternating ribbons of Transition Metal DiChalogenides (TMDC). Within governed effective Hamiltonian we derived adopted transfer matrix formalism to obtain dispersion relation and electronic band structure with wave functions, transmission probability and Fano spectrum. Surprisingly, spin orbit coupling has considerable opposite effects on valence bands shift in TMDC-PSL that is blue and red for k and k' valleys, respectively. The amount of contribution of each ribbon determines the transmission spectrum and the transport feature. We observed that outside the band gap, the Fano factor changes from 1 to smaller values gradually, that indicates the ballistic transport. To give real aspect to our model, the effect of structural disorder and defect are addressed in details. Interestingly, we found that main gap is not dependent on structural disorder and electron incident angle. Our study presents an efficient way to control the key parameters in conductivity and band structure of TMDC-PSL in the view of optoelectronics applications.