Topological effects of a spiral dislocation on quantum rings

Abstract

We consider an elastic medium with a spiral dislocation, and then, we investigate the topological effects of the spiral dislocation on the confinement of a quantum particle to a two-dimensional quantum ring and a one-dimensional quantum ring. We show that the topology of the spiral dislocation modifies the spectra of energy. In particular, we show that the Costa term is modified in the energy levels. Besides, we analyse if the Aharonov–Bohm effect for bound states can exist in these cases.