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arXiv · 1209.1080

Microscopic Derivation of the Ginzburg-Landau Model

Rupert L. Frank·Christian Hainzl·Robert Seiringer·Jan Philip Solovej
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Abstract

We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof.

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Rupert L. Frank, Christian Hainzl, Robert Seiringer, Jan Philip Solovej. 2012-09-05. Microscopic Derivation of the Ginzburg-Landau Model. https://doi.org/10.1142/9789814449243_0060

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