Design for the Detection of the Singly-Connected Superconducting State

Details Design for the Detection of the Singly-Connected Superconducting State Design for the Detection of the Singly-Connected Superconducting State

1996-12-15

arxiv.org/abs/cond-mat/9612141v1

Physica C 288 (1997) 105

Physics

Condensed Matter

Superconductivity

Revtex, 8 pages, 10 scanned figures

Scientific paper

10.1016/S0921-4534(97)01563-3

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.

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