Quantum waveguide theory for a mesoscopic ring subject to the Aharonov-Casher effect

Abstract

A one-dimensional quantum waveguide theory is developed for a mesoscopic ring subject to the Aharonov-Casher(AC) effect based on the SU(2)(spin) gauge theory. The quantum interference by the AC effect is found to be equivalent to that by the Aharonov-Bohm(AB) effect. This indicates that AC effect can be utilized for device application in a very similar manner to the AB effect. The transmission probability induced by the AC effect is shown to be identical for the spin up and down components.