Persistent Current in Metallic Rings and Cylinders

Details Persistent Current in Metallic Rings and Cylinders Persistent Current in Metallic Rings and Cylinders

2008-12-02

arxiv.org/abs/0812.0439v2

Solid State Phenomena, Volume: 155 Year: 2009 pp. 87-104

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

25 pages, 14 figures, A brief review article

Scientific paper

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 $N_e$, chemical potential $\mu$, randomness and total number of channels. The study of low-field magnetic response reveals that only for one-channel rings with fixed $N_e$, 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 $N_e$ as it significantly depends on the choices of $N_e$, $\mu$, number of channels, disordered configurations, etc.

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