Persistent Current in Metallic Rings and Cylinders

We explore the behavior of persistent current and low-field magnetic response in mesoscopic one-channel rings and multi-channel cylinders within the tight-binding framework. We show that the characteristic properties of persistent current strongly depend on total number of electrons , chemical potential μ, randomness and total number of channels. The study of low-field magnetic response reveals that only for one-channel rings with fixed , sign of the low-field currents can be predicted exactly, even in the presence of disorder. On the other hand, for multi-channel cylinders, sign of the low-field currents cannot be mentioned exactly, even in the perfect systems with fixed as it significantly depends on the choices of , μ, number of channels, disordered configurations, etc.