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Non-Universal Quasi-Long Range Order in the Glassy Phase of Impure Superconductors

Thorsten Emig·Simon Bogner·Thomas Nattermann
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Abstract

The structural correlation functions of a weakly disordered Abrikosov lattice are calculated for the first time in a systematic RG-expansion in d=4-εdimensions. It is shown, that in the asymptotic limit the Abrikosov lattice exhibits still quasi long range translational order described by a non-universal exponent \barη_{\bf G} which depends on the ratio of the renormalized elastic constants κ=\tilde c_{66}/\tilde c_{11} of the flux line (FL) lattice. Our calculations show clearly three distinct scaling regimes corresponding to the Larkin, the manifold and the asymptotic Bragg glass regime. On a wide range of intermediate length scales the FL displacement correlation function increases as a power law with twice of the manifold roughness exponent ζ_{rm}(κ), which is also non-universal. Our results, in particular the κ-dependence of the exponents, are in variance with those of the variational treatment with replica symmetry breaking which allows in principle an experimental discrimination between the two approaches.

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Thorsten Emig, Simon Bogner, Thomas Nattermann. 1999-07-12. Non-Universal Quasi-Long Range Order in the Glassy Phase of Impure Superconductors. https://doi.org/10.1103/physrevlett.83.400

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