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The onset of superconductivity at a superconducting/normal interface

Published online by Cambridge University Press:  09 February 2007

TIZIANA GIORGI
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA email: [email protected]
HALA JADALLAH
Affiliation:
Department of Mathematics, Illinois State University, Normal, IL 61790, USA email: [email protected]

Abstract

We analyze the onset of superconductivity, in a type II superconductor adjacent to a normal material, via a generalized Ginzburg–Landau energy functional, which models the effects of superconducting electron pairs diffusing into the normal part. We consider a superconductor and a normal material, each filling a half-space, in the presence of a constant magnetic field parallel to their interface. Among other results, we show that if the normal state conductivity of the superconductor is less than or equal to the conductivity of the normal material, then normal states are the only global minimizers down to the second critical field $H_{c_2}$. Hence, we analytically confirm experimental predictions that surface superconductivity may be suppressed by coating a superconductor with a normal metal.

Type
Papers
Copyright
2007 Cambridge University Press

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