PERSISTENT CURRENT INDUCED BY BOTH AB AND AC EFFECTS IN A POLYACETYLENE RING

Abstract

We investigate the persistent current in a polyacetylene ring induced by axially symmetric, gauge potentials of both magnetic flux and static electric field using a modified SSH Hamiltonian for the polyacetylene chain. The AB and AC effects for an electron with spin are formulated simultaneously in a completely equal footing. It is shown that the gauge fields result in a Fröhlich-type superconductivity equivalent to the effect of a travelling lattice wave. The total energy as well as the persistent current density are shown to be periodic function of the total effective flux of the both gauge fields of AB and AC embraced by the polyacetylene ring.