Limiting Critical Field in Thin Superconductors

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Abstract
The Ginzburg-Landau theory has been formulated in a proper form to include the magnetization effect due to penetration of the magnetic field within the superconductor. Modified Ginzburg-Landau equations were obtained and solved for the case of thin films and filaments in vacuo or imbedded in normal material. The resulting expressions describe the behavior of the critical field of thin films and filaments as functions of thickness and temperature. They reduce to Clogston's critical field in the limit of vanishing thickness. They also provide a simple criterion for distinguishing between different types of the superconducting-normal transitions.