Ao. Gogolin et Nv. Prokofev, SIMPLE FORMULA FOR THE PERSISTENT CURRENT, IN DISORDERED ONE-DIMENSIONAL RINGS - PARITY AND INTERACTION EFFECTS, Physical review. B, Condensed matter, 50(7), 1994, pp. 4921-4924
The general expression for the persistent current of one-dimensional n
oninteracting electrons in a disorder potential with smooth scattering
data is derived for zero temperature. On the basis of this expression
the parity effects are discussed. It is shown that the electron-elect
ron interaction may give rise to an unusual size dependence of the cur
rent amplitude due to renormalized backscattering from the disorder po
tential.