Persistent current in superconducting nanorings.
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.
Department of Physics, Duke University, Box 90305, Durham, North Carolina 27708, USA.
K A
KA
Matveev
A I
AI
Larkin
L I
LI
Glazman