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Critical and Non-Critical Coherence Lengths in a Two-Band Superconductor

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Abstract

We study the peculiarities of coherency in a two-gap superconductor. Both intraband couplings, inducing superconductivity in the independent bands, and interband pair-transfer interaction have been taken into account. On the basis of the Ginzburg–Landau equations derived from the Bogoliubov–de Gennes equations and the relevant self-consistency conditions for a two-gap system, we find critical and non-critical coherence lengths in the spatial behaviour of the fluctuations of order parameters. The character of the temperature dependencies of these length scales is determined by the relative contributions from intra- and interband interaction channels.

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Notes

  1. The more general situation U αα′(r)≠0 if α≠α′ should be considered as a special problem.

  2. Note that K(T c )=0 according to Eq. (20).

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Acknowledgements

This research was supported by the European Union through the European Regional Development Fund (Centre of Excellence “Mesosystems: Theory and Applications”, TK114). We acknowledge the support by the Estonian Science Foundation, Grant No. 7296.

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Authors and Affiliations

  1. Institute of Physics, University of Tartu, Tähe 4, 51010, Tartu, Estonia

    Teet Örd, Küllike Rägo & Artjom Vargunin

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  1. Teet Örd
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  2. Küllike Rägo
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  3. Artjom Vargunin
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Correspondence to Teet Örd.

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Örd, T., Rägo, K. & Vargunin, A. Critical and Non-Critical Coherence Lengths in a Two-Band Superconductor. J Supercond Nov Magn 25, 1351–1356 (2012). https://doi.org/10.1007/s10948-012-1656-4

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  • DOI: https://doi.org/10.1007/s10948-012-1656-4

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