A minimal size for granular superconductors

Details A minimal size for granular superconductors A minimal size for granular superconductors

2003-05-15

arxiv.org/abs/cond-mat/0305368v1

Physica A331 (2004) 99-108

Physics

Condensed Matter

Superconductivity

6 pages, Revtex, no figures

Scientific paper

We investigate the minimal size of small superconducting grains by means of a Ginzburg-Landau model confined to a sphere of radius $R$. This model is supposed to describe a material in the form of a ball, whose transition temperature when presented in bulk form, $T_{0}$, is known. We obtain an equation for the critical temperature as a function of $R$ and of $T_{0}$, allowing us to arrive at the minimal radius of the sphere below which no superconducting transition exists.

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