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Universal persistent currents in mesoscopic metal rings due to long-range Coulomb interactions

Peter Kopietz
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Abstract

We calculate the average persistent current in a mesoscopic metal ring threaded by a magnetic flux in the diffusive regime. It is shown that the classical electromagnetic energy leads to a {\it{universal}} average current of the order of $ αe c / C_{0}$, where $α$ is the fine structure constant, $-e$ is the charge of the electron, $c$ is the velocity of light, and $C_{0}$ is the classical capacitance of the ring. Striking similarities between persistent currents and universal conductance fluctuations are discovered. We suggest a simple experiment to test our theory.

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Peter Kopietz. 1993-02-19. Universal persistent currents in mesoscopic metal rings due to long-range Coulomb interactions. https://doi.org/10.1103/physrevlett.70.3123

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