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Ginzberg-L<strong>and</strong>au functionalLets consider a superconductor:The amount particles in the superconducting stateOrder parameter n(r) = |Ψ(r)|The equation describing the order parameter12m ∗(−i∇ − eA)2 Ψ(r) + α 1 Ψ(r) + α 2 |Ψ(r)| 2 Ψ(r) = 0Gauge invariant formCan be derived from the microscopicBardeen-Cooper-Schrieffer theoryUseful to study macroscopic effects (Meissner effect)
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