Spin and Interaction Effects on Charge Distribution and Currents in One-dimensional Conductors and Rings within the Hartree-Fock Approximation

Abstract

Using the self-consistent Hartree-Fock approximation for electrons with spin at zero temperature, we study the effect of the electronic interactions on the charge distribution in a one- dimensional continuous ring containing a single scatterer. We reestablish that the interaction suppresses the decay of the Friedel oscillations. Based on this result, we show that in an infinite one-dimensional conductor containing a weak scatterer, the current is totally suppressed because of a gap opened at the Fermi energy. In a canonical ensemble of continuous rings containing many scatterers, the interactions enhance the average and the typical persistent current.