A minimal size for granular superconductors
L. M. Abreu, A. P. C. Malbouisson, I. Roditi
Abstract
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, T0, is known. We obtain an equation for the critical temperature as a function of R and of T0, allowing us to arrive at the minimal radius of the sphere below which no superconducting transition exists.
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