Persistent current in continuous one-dimensional quantum ring: Hartree-Fock and quantum Monte Carlo study.

We study numerically the effects of the electron-electron interaction on the persistent current of a one-dimensional quantum ring containing a single $\delta$-barrier. Using the self-consistent Hartree-Fock approximation for spinless electrons, we calculate the zero-temperature persistent current as a function of the ring circumference, magnetic flux threading the ring, barrier strength, electron-electron interaction strength, etc. Next, we explore the many-body quantum Monte Carlo method to obtain fully correlated solutions for the steady state wave functions and to evaluate the transport properties for the same problem.