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The general expression for the persistent current of 1D noninteractingelectrons in a disorder potential with smooth scattering data is derived forzero temperature. On the basis of this expression the parity effects arediscussed. It is shown that the electron-electron interaction may give rise toan unusual size-dependence of the current amplitude due to renormalizedbackscattering from the disorder potential.Comment: 13 pages (no figures), revte

Simple formula for the persistent current in disordered one-dimensional rings: Parity and interaction effects