SPIN AND INTERACTION EFFECTS ON CHARGE-DISTRIBUTION AND CURRENTS IN ONE-DIMENSIONAL CONDUCTORS AND RINGS WITHIN THE HARTREE-FOCK APPROXIMATION

Using the self-consistent Hartree-Fock approximation for electrons wit h spin at zero temperature, we study the effect of the electronic inte ractions on the charge distribution in a one-dimensional continuous ri ng containing a single delta scatterer. We reestablish that the intera ction suppresses the decay of the Friedel oscillations. Based on this result, we show that in an infinite one-dimensional conductor containi ng a weak scatterer, the current is totally suppressed because of a ga p opened at the Fermi energy. In a canonical ensemble of continuous ri ngs containing many scatterers, the interactions enhance the average a nd the typical persistent current.