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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1284-1289
Number of pages6
JournalJournal of Mathematical Physics
Volume31
Issue number5
StatePublished - 1990

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Meissner effect
Superconducting films
Landau-Ginzburg equations
Ginzburg-Landau Equation
superconducting films
External Field
Magnetic fields
Magnetic Field
magnetic fields
Electron energy levels
energy levels
Ginzburg-Landau
Asymptotic Behavior of Solutions
Energy Levels
Lowest
Verify

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

The Ginzburg-Landau equations for superconducting films and the Meissner effect. / Yang, Yisong.

In: Journal of Mathematical Physics, Vol. 31, No. 5, 1990, p. 1284-1289.

Research output: Contribution to journalArticle

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