Persistent currents in continuous one-dimensional disordered rings within the Hartree-Fock approximation

A. Cohen, R. Berkovits, A. Heinrich

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Abstract

We present numerical results for the zero temperature persistent currents carried by interacting spinless electrons in disordered one-dimensional continuous rings. The disorder potential is described by a collection of δ-functions at random locations and strengths. The calculations are performed by a self-consistent Hartree-Fock (HF) approximation. Because the HF approximation retains the concept of single-electron levels, we compare the statistics of energy levels of noninteracting electrons with those of interacting electrons as well as of the level persistent currents. We find that the e-e interactions alter the levels and samples persistent currents and introduces a preffered diamagnetic current direction. In contrast to the analogous calculations that recently appeared in the literature for interacting spinless electrons in the presence of moderate disorder in tight-binding models we find no suppression of the persistent currents due to the e-e interactions.

Original languageEnglish
Pages (from-to)1845-1863
Number of pages19
JournalInternational Journal of Modern Physics B
Volume11
Issue number15
DOIs
StatePublished - 20 Jun 1997

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