Cf. Yu et Yp. Luo, Effect of the Aharonov-Bohm potential on the optical polaron soliton motion in one-dimensional rings, COMM TH PHY, 32(4), 1999, pp. 533-536
The effect of the Aharonov-Bohm potential on the optical polaron solitons i
s considered by making use of vibration configuration resulting from the en
ergy minimum. Two new polaron solutions with solitary wave form and their r
elevant properties have been obtained. The results show that the soliton's
shape, location, self-trapping energy and effective mass depend on the Ahar
onov-Bohm flux. At the same time, the bell solitons appear at the polaron e
nergy band, while the kink excitation at the top.