Persistent currents in interacting lattice models

We present the results of an exact calculation of the averaged persistent current and its root mean square value in interacting disordered 1D rings. While the averaged persistent current exhibits a variety of interesting behaviors depending on the disorder and the strength of electron-electron interactions, the r.m.s. value depends very weakly on the strength of interaction. In general we observe that no dramatical increase of the averaged current or its r.m.s. value as a result of interactions is possible for these systems.