Persistent current in thin superconducting wires
- 20 August 2019
- journal article
- research article
- Published by IOP Publishing in Physica Scripta
- Vol. 95 (1), 015801
- https://doi.org/10.1088/1402-4896/ab3d1a
Abstract
In this paper, we explore the persistent current in thin superconducting wires and accurately examine the effects of the phase slips on that current. The main result of the paper is the formula for persistent current in terms of the solutions of certain (nonlinear) integral equation. This equation allows to find asymptotics of the current at long(small) length of the wire, in that paper, we interested in the region in which the system becomes strongly interacting and very few amounts of information can be extracted by perturbation theory. Nevertheless, due to the integrability, exact results for the current can be obtained. We observe that at the limit of a long wire, the current becomes exponentially small, we believe that it is the signal that phase slips may destroy superconductivity for long wires, below BKT phase transition.Keywords
This publication has 11 references indexed in Scilit:
- Persistent currents in quantum phase slip ringsPhysical Review B, 2013
- 40 Years of Berezinskii–Kosterlitz–Thouless TheoryPublished by World Scientific Pub Co Pte Ltd ,2012
- Quantum phase slip phenomenon in ultra-narrow superconducting nanoringsScientific Reports, 2012
- Superconductivity in one dimensionPhysics Reports, 2008
- Quantum Phase Slips and Transport in Ultrathin Superconducting WiresPhysical Review Letters, 1997
- Unified approach to Thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theoriesNuclear Physics B, 1995
- MASS SCALE IN THE SINE–GORDON MODEL AND ITS REDUCTIONSInternational Journal of Modern Physics A, 1995
- Light-cone lattice approach to fermionic theories in 2D: The massive Thirring modelNuclear Physics B, 1987
- Propagating plasma mode in thin superconducting filamentsPhysical Review Letters, 1985
- Quantum sine-Gordon equation as the massive Thirring modelPhysical Review D, 1975