Two-band superconductors: Hidden criticality deep in the superconducting state

Details Two-band superconductors: Hidden criticality deep in the superconducting state Two-band superconductors: Hidden criticality deep in the superconducting state

2012-03-30

arxiv.org/abs/1203.6837v1

Physics

Condensed Matter

Superconductivity

6 pages, 2 figures, Supplementary material included. Accepted for publication in PRL

Scientific paper

We show that two-band superconductors harbor hidden criticality deep in the superconducting state, stemming from the critical temperature of the weaker band taken as an independent system. For sufficiently small interband coupling $\gamma$ the coherence length of the weaker band exhibits a remarkable deviation from the conventional monotonic increase with temperature, namely, a pronounced peak close to the hidden critical point. The magnitude of the peak scales proportionally to \gamma^(-\mu), with the Landau critical exponent \mu = 1/3, the same as found for the mean-field critical behavior with respect to the source field in ferromagnets and ferroelectrics. Here reported hidden criticality of multi-band superconductors can be experimentally observed by, e.g., imaging of the variations of the vortex core in a broader temperature range. Similar effects are expected for the superconducting multilayers.

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