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Derivation of a variational problem for the Abrikosov lattice (Q2837183)

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scientific article; zbMATH DE number 6186357
Language Label Description Also known as
English
Derivation of a variational problem for the Abrikosov lattice
scientific article; zbMATH DE number 6186357

    Statements

    author
    S. Serfaty
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    publication date
    10 July 2013
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    title
    Derivation of a variational problem for the Abrikosov lattice (English)
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    review text
    Starting from the formula for the renormalized energy in the Ginzburg-Landau model of superconductivity in two dimensions, the author uses distribution theory and the London approximation to find an approximate integral formula for this energy. The main theorem states that among the lattice configurations of volume \(2 \pi\), the unique minimizer of the renormalized energy \(W\) is the triangular lattice.
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    reviewed by
    Thomas Ernst
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    Identifiers

    Mathematics Subject Classification ID
    35Q56
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    82D55
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    82B20
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    zbMATH DE Number
    6186357
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