Efeitos da massa efetiva variável, e do campo magnético no transporte eletrônico em nanotubos deformados

Abstract

Two-dimensional quantum systems have been much studied and used for the criation of new devices, be they thermal, mechanical or electronic. With the evolution of experimental techniques, the control in the modeling of these systems became possible. In this work we investigate the transport properties of these systems by exploring the geometric changes, as done by [1] and [2], however including the position-dependent mass. We found the Schrödinger equation for a generic surface with the position dependent mass. A erwards, we studied the e ects on trasnport properties caused in this system by the presence of a magnetic eld. For this we followed the Schrödinger equation described by [3]. For both cases we found expressions for the transmittance and re ectance for a general surface of revolution. As an application we investigated the transport properties in deformed nanotubes. We found that the inclusion of the position dependent mass, particulary a radial dependence of the mass, produces signi cant changes in transport properties, revealing a sensitivity of two-dimensional quantum systems. We also found a great sensitivity in the transport properties with the insertion of the magnetic eld, which can be used to control these properties. In this way, the inclusion of a position-dependent mass, as well as the inclusion of the magnetic eld, should be considered in the modeling of eletronic transport devices in surfaces.