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04 October 2022
 
  » arxiv » cond-mat/0207277

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Persistent current in superconducting nanorings
K.A. Matveev ; A.I. Larkin ; L.I. Glazman ;
Date 11 Jul 2002
Subject Mesoscopic Systems and Quantum Hall Effect; Superconductivity | cond-mat.mes-hall cond-mat.supr-con
AbstractThe 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.
Source arXiv, cond-mat/0207277
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