Temporal variation of electric currents in a one-dimensional disordered ring under a time-varying magnetic field

Abstract Temporal variations in electric currents along a ring, induced by a time-dependent magnetic flux are examined using the tight-binding model. When all nearest-neighbor atom pairs share the same transfer integral and the Peierls phase changes linearly with time, the resulting electric current remains uniform and matches the magnitude of the current induced by a static magnetic field producing the same Peierls phase. However, in the presence of disorder, where transfer integrals differ, the electric current becomes position-dependent. For a randomly disordered ring with the transfer integrals following a normal distribution, an increase in the standard deviation reduces the mean electric current under a static magnetic field. In contrast, when exposed to a time-varying magnetic field, the induced currents in the disordered ring can increase as the standard deviation increases.