Transfer matrix in graphene-like materials: the case of silicene and transition metal dichalcogenides

The fundamental properties of 1D Dirac-like problems in silicene and transition metal dichalcogenides (TMDs) are derived with the use of the transfer matrix. Analytic expressions for the transmission coefficient and the bound states are obtained for these 2D materials. The continuity between states of perfect transmission and bound states is also addressed in silicene and TMDs. The similarities and differences with respect to the fundamental properties of 1D Dirac-like problems in graphene derived with the transfer matrix (Ibarra-Reyes<i>et al</i>2023<i>J. Phys.: Condens. Matter</i><b>35</b>395301) are discussed.