The Ginzburg--Landau equations for superconducting films and the Meissner effect

Journal Article · Tue May 01 04:00:00 EDT 1990 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.528765· OSTI ID:6825716

Yang, Y ^[1]

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1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003 (USA)

The existence of the solutions at the lowest energy level to the Ginzburg--Landau equations describing superconducting films under the influence of an external magnetic field is proved. The condition obtained for maintaining superconducting states does not involve the Ginzburg--Landau parameter, and, more surprisingly, in this condition both the external magnetic field and the thickness of the film play equal parts. The asymptotic behavior of these solutions for small or large values of the external field is also studied, which qualitatively verifies the Meissner effect and quantitatively reproduces the solution found from the classical London theory.

• OSTI ID: 6825716
• Journal Information: Journal of Mathematical Physics (New York); (USA), Journal Name: Journal of Mathematical Physics (New York); (USA) Vol. 31:5; ISSN JMAPA; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ASYMPTOTIC SOLUTIONS
COUPLING
DIMENSIONS
ENERGY
ENERGY LEVELS
EQUATIONS
FILMS
FREE ENERGY
FUNCTIONS
GINZBURG-LANDAU THEORY
LONDON EQUATION
MAGNETIC FIELDS
MEISSNER-OCHSENFELD EFFECT
PHYSICAL PROPERTIES
SUPERCONDUCTING FILMS
THERMODYNAMIC PROPERTIES
THICKNESS