A minimal size for granular superconductors

L. M. Abreu; A. P. C. Malbouisson; I. Roditi

doi:10.1016/j.physa.2003.09.032

A minimal size for granular superconductors

Superconductivity 2015-06-24 v1 High Energy Physics - Theory Mathematical Physics math.MP

Authors: L. M. Abreu , A. P. C. Malbouisson , I. Roditi

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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, $T_{0}$ , 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.

Keywords

ginzburg-landau theory

Cite

@article{arxiv.cond-mat/0305368,
  title  = {A minimal size for granular superconductors},
  author = {L. M. Abreu and A. P. C. Malbouisson and I. Roditi},
  journal= {arXiv preprint arXiv:cond-mat/0305368},
  year   = {2015}
}

Comments

6 pages, Revtex, no figures

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