A Simple Formula for the Persistent Current in Disordered 1D Rings: Parity and Interaction Effects
Alexander O. Gogolin, Nikolai V. Prokof'ev
Abstract
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.
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