Propriedades de transporte em sistemas com massa dependente da posição

Abstract

Many semiconductor materials have been responsible for many advances both in the development of new technologies and the understanding of new physical phenomena. One of these phenomena is the tunneling effect, which is the probability of an electron transposing a classically prohibited energy state, this tunneling phenomenon is purely quantum without classical analogue. Thus, indifferent physical systems, the appearance of an effective mass depending on the position, for example in heterejunctions, quantum wells and supernets, is natural. The kinetic Hamiltonian must be changed in these cases. In this work, we solve two Hamiltonian models with terms of effective position dependent mass due to a periodic structure, we study the band structure and investigate the probability of transmission and reflection for a quantum particle in a heterostructure formed by two types of materials, where in each of them the load carriers have a different effective mass, we also calculate their probability of transmission using the new model proposed by [1] for a constant potential. The results are compared with those found in the literature.