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Persistent current in superconducting nanorings

K. A. Matveev·A. I. Larkin·L. I. Glazman
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Abstract

The superconductivity in very thin rings is suppressed by quantum phase slips. As a result the amplitude of the persistent current oscillations with flux becomes exponentially small, and their shape changes from sawtooth to a sinusoidal one. We reduce the problem of low-energy properties of a superconducting nanoring to that of a quantum particle in a sinusoidal potential and show that the dependence of the current on the flux belongs to a one-parameter family of functions obtained by solving the respective Schrodinger equation with twisted boundary conditions.

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K. A. Matveev, A. I. Larkin, L. I. Glazman. 2002-07-11. Persistent current in superconducting nanorings. https://doi.org/10.1103/physrevlett.89.096802

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