PERSISTENT CURRENTS IN CONTINUOUS ONE-DIMENSIONAL DISORDERED RINGS WITHIN THE HARTREE-FOCK APPROXIMATION

We present numerical results for the zero temperature persistent curre nts carried by interacting spinless electrons in disordered one-dimens ional continuous rings. The disorder potential is described by a colle ction of delta-functions at random locations and strengths. The calcul ations are performed by a self-consistent Hartree-Fock (HF) approximat ion. Because the HF approximation retains the concept of single-electr on levels, we compare the statistics of energy levels of noninteractin g electrons with those of interacting electrons as well as of the leve l persistent currents. We find that the e-e interactions alter the lev els and samples persistent currents and introduces a proffered diamagn etic current direction. In contrast to the analogous calculations that recently appeared in the literature for interacting spinless electron s in the presence of moderate disorder in tight-binding models we find no suppression of the persistent currents due to the e-e interactions .