Persistent Current in Superconducting Nanorings
K. A. Matveev, A. I. Larkin, L. I. Glazman
DOI 10.1103/PhysRevLett.89.096802 · Physical Review Letters
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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 Schrödinger equation with twisted boundary conditions.
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