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Metal-superconductor transition at zero temperature: A case of unusual scaling

T. R. Kirkpatrick·D. Belitz
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Abstract

An effective field theory is derived for the normal metal-to-superconductor quantum phase transition at T=0. The critical behavior is determined exactly for all dimensions d>2. Although the critical exponents βand νdo not exist, the usual scaling relations, properly reinterpreted, still hold. A complete scaling description of the transition is given, and the physics underlying the unusual critical behavior is discussed. Quenched disorder leads to anomalously strong T_c-fluctuations which are shown to explain the experimentally observed broadening of the transition in low-T_c thin films.

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T. R. Kirkpatrick, D. Belitz. 1997-11-03. Metal-superconductor transition at zero temperature: A case of unusual scaling. https://doi.org/10.1103/physrevlett.79.3042

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