Effect of the Aharonov-Bohm potential on the optical polaron in a one-dimensional ring

The effect of the Aharonov-Bohm potential on the optical polaron is discussed. In the case of the small magnetic flux the continuous limit is taken and the analytic solution is given. The parameters of the soliton-type solution, such as the height and width of wave packet, the travelling velocity, the lattice deformation and the total energy, is showed to be dependent on the magnetic flux.