Self-sustaining resistance oscillations: Electron-nuclear spin coupling in mesoscopic quantum Hall devices

We study electron-nuclear spin coupled systems implemented in mesoscopic fractional quantum Hall devices. We find that longitudinal resistance in such systems, oscillates with a period of several hundreds of seconds driven by a constant voltage instead of a constant current. The anomalous behavior suggests that an average nuclear spin polarization self-sustainingly oscillates between randomized and polarized states, which reveal the nonlinear nature of the mesoscopic electron-nuclear spin coupled systems.