Abstract

Persistent currents in mesoscopic rings threaded by a magnetic field are studied. Due to the mesoscopic dimensions the system has a discrete energy spectrum and the level spacing at the Fermi surface is large compared with the thermal excitations at sufficiently low temperatures. The inclusion of the self-inductance of the ring gives a self-consistent equation for the flux which can lead to multiple solutions and to flux trapping in a sufficiently thick ring. The formulas for the susceptibility and persistent current are derived. The flux quantization and the dependence of the transition temperature to multiple solutions on the self-inductance of the ring are discussed.

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