%0 Journal Article %T A Simple Formula for the Persistent Current in Disordered 1D Rings: Parity and Interaction Effects %A Alexander O. Gogolin %A Nikolai V. Prokof'ev %J Physics %D 1993 %I arXiv %R 10.1103/PhysRevB.50.4921 %X The general expression for the persistent current of 1D noninteracting 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-electron interaction may give rise to an unusual size-dependence of the current amplitude due to renormalized backscattering from the disorder potential. %U http://arxiv.org/abs/cond-mat/9311026v1