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

Thorsten Emig, Simon Bogner, Thomas Nattermann

DOI 10.1103/PhysRevLett.83.400 · Physical Review Letters

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Abstract

The structural correlation functions of a weakly disordered Abrikosov lattice are calculated for the first time in a systematic renormalization group expansion. In the asymptotic limit the Abrikosov lattice exhibits still quasi-long-range translational order described by a nonuniversal exponent η¯G which depends on the ratio of the renormalized elastic constants κ=c̃66/c̃11 of the flux line lattice. Our calculations show clearly three distinct scaling regimes corresponding to the Larkin, the manifold, and the asymptotic Bragg glass regime. The manifold roughness exponent ζrm(κ) is also nonuniversal. Our results are at 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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