Efeitos topológicos de uma distorção de uma linha vertical em uma espiral vertical em sistemas quânticos não-relativísticos

Abstract

We investigate the topological effects of a screw dislocation, that corresponds to the distortion of a vertical line in a vertical spiral on non-relativistic quantum systems. Our focus is on mesoscopic systems, such as the cylindrical wire and one-dimensional ring. We study both systems in a nonrotating and a rotating reference frame. We also investigate the effects of the distortion of the elastic medium on the Harmonic Oscillator and on the Landau levels. We extend our discussion to explore the effects of the topology of a spiral dislocaton, that corresponds to the distortion of a circle in a spiral on non-relativistic quantum systems. In this approach we explore the effects of defect topology and rotation ffects in systems such as cylindrical wire and one-dimensional ring.