Electron-electron correlations and the Aharonov-Bohm effect in mesoscopic rings

We study the effect of correlations on the Aharonov-Bohm effect in small one-dimensional rings. We use the Luttinger and Hubbard models to describe electrons in the ring with two contacts on opposite sites and a magnetic field passing through the hole of the circuit. We show that correlations change the fundamental periodicity of the transmittance as a function of the magnetic flux. We interpret this new effect as a consequence of the charge and spin separation in the one-dimensional conductors.