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# The Breakdown of Superconductivity Due to Strong Fields for the Ginzburg-Landau Model

T. Giorgi and D. Phillips
SIAM Review
Vol. 44, No. 2 (Jun., 2002), pp. 237-256
Stable URL: http://www.jstor.org/stable/4148353
Page Count: 20
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## Abstract

We study the behavior of a superconducting material subjected to a constant applied magnetic field, $H_a = he with \mid e\mid = 1$, using the Ginzburg-Landau theory. We analytically show the existence of a critical field h̄, for which, when $h > \bar h$, the normal states are the only solutions to the Ginzburg-Landau equations. We estimate h̄. As $\kappa \downarrow 0$ we derive $\bar h = O (1)$, while as κ → ∞ we obtain $\bar h = O(\kappa)$.

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