Electronic transport for random dimer-trimer model Hamiltonians

In this paper we study the transport properties of model chains constituted by random sequences of monomers, dimers, and trimers. We investigate the transmission properties of the random dimer model (RDM), where one of the two site energies of the lattice is assigned to couple of adjacent sites, while the other site energy has no constraints on its probability of occurrence. For comparison, we investigate the transport properties of other models of correlated disorder which can be considered as "components" of the RDM: the random dimer-isolated monomer, the random dimer-trimer model, and the random dimer alloy model, which is a binary alloy of dimers. Scaling laws of transmittivity with chain lengths are investigated.