Microscopic derivation of Ginzburg-Landau theory
ID: microscopic-derivation-of-ginzburg-landau-theory
Expanding the BCS theory near the transition in small pair amplitude and slow spatial gradients produces a local complex order-parameter free energy. The microscopic theory fixes its normalization and coefficients, including the pair's twice-electron charge. This establishes a controlled near-transition relation rather than an exact all-temperature replacement for BCS theory.[ref]
Microscopic Derivation of the Ginzburg-Landau Equations in the Theory of Superconductivity by Lev Gor'kov. 1959 abstract and near-transition reduction
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