Hartree-Fock Simulation of Persistent Current in Rings with Single Scatterer

Abstract

Using the self-consistent Hartree–Fock approximation for spinless electrons at zero temperature, we calculate the persistent current of the interacting electron gas in a one-dimensional ring containing a single δ barrier. Our results agree with correlated models like the Luttinger liquid model and lattice model with nearest-neighbor interaction. The persistent current is a sine-like function of magnetic flux. It decays with the ring length (L) faster than L−1 and eventually like L−α−1, where α > 0 is universal.