Please use this identifier to cite or link to this item: https://doi.org/10.1137/S0036141002406734
Title: Superconducting films in perpendicular fields and the effect of the de Gennes parameter
Authors: Pan, X.-B. 
Keywords: Critical field
De Gennes parameter
Ginzburg-Landau system
Schrödinger operator with a magnetic field
Superconductivity
Thin film
Issue Date: 2003
Citation: Pan, X.-B. (2003). Superconducting films in perpendicular fields and the effect of the de Gennes parameter. SIAM Journal on Mathematical Analysis 34 (4) : 957-991. ScholarBank@NUS Repository. https://doi.org/10.1137/S0036141002406734
Abstract: In this paper we study superconductivity of a thin film placed in a perpendicular magnetic field. We discuss the dependence of the upper critical field HC3 on the thickness l of the film and the Ginzburg-Landau parameter κ, and we examine nucleation of superconductivity. We show that a critical change occurs at l = 2γκ-2. If l > aκ-2 (a > 2γ), the film exhibits type II behaviors: as the applied magnetic field decreases from HC3, superconductivity nucleates in a strip at the lateral surface and develops a lateral surface superconducting state. If l ≤ 2γκ-2 + Cκ-4, the film exhibits type I behaviors.
Source Title: SIAM Journal on Mathematical Analysis
URI: http://scholarbank.nus.edu.sg/handle/10635/104221
ISSN: 00361410
DOI: 10.1137/S0036141002406734
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