English

Design for the Detection of the Singly-Connected Superconducting State

Superconductivity 2009-10-28 v1

Abstract

We study the Little-Parks effect for mesoscopic loops with very nonuniform thickness. The results follow the trend of the phase diagram obtained for almost uniform thickness. In particular, the singly-connected state is stable on a line segment delimited by two critical points. Most of this study considers loops with piecewise constant thickness; in this case the Euler-Lagrange equation can be integrated analytically. Under appropriate conditions, the temperature range where the singly-connected state is stable is proportional to the square of the ratio between the maximal and the minimal thicknesses. Our results may serve as a guide for planning experiments.

Keywords

Cite

@article{arxiv.cond-mat/9612141,
  title  = {Design for the Detection of the Singly-Connected Superconducting State},
  author = {Jorge Berger and Jacob Rubinstein},
  journal= {arXiv preprint arXiv:cond-mat/9612141},
  year   = {2009}
}

Comments

Revtex, 8 pages, 10 scanned figures