On an attractive inverse-square potential in an elastic medium with a screw dislocation

Abstract

We consider an elastic medium with the distortion of a circular curve into a vertical spiral. Then, we investigate the topological effects of a charged screw dislocation on the attractive inverse-square potential that stems from the interaction of the induced electric dipole moment of a neutral quasiparticle with an electric field. We show that an analogue of the Aharonov–Bohm effect for bound states can be obtained. In addition, we consider a rotating reference frame. Thus, we analyze an Aharonov–Bohm-type effect for bound states and the arising of a coupling between torsion and the angular velocity.