Critical Fluctuations and Disorder at the Vortex Liquid to Crystal Transition in Type-II Superconductors

Details Critical Fluctuations and Disorder at the Vortex Liquid to Crystal Transition in Type-II Superconductors Critical Fluctuations and Disorder at the Vortex Liquid to Crystal Transition in Type-II Superconductors

1995-04-10

arxiv.org/abs/cond-mat/9504034v1

Physics

Condensed Matter

4 pages, no figures, typeset using revtex (v3.0)

Scientific paper

10.1103/PhysRevLett.75.533

We present a functional renormalization group (FRG) analysis of a Landau-Ginzburg model of type-II superconductors (generalized to $n/2$ complex fields) in a magnetic field, both for a pure system, and in the presence of quenched random impurities. Our analysis is based on a previous FRG treatment of the pure case [E.Br\'ezin et. al., Phys. Rev. B, {\bf 31}, 7124 (1985)] which is an expansion in $\epsilon = 6-d$. If the coupling functions are restricted to the space of functions with non-zero support only at reciprocal lattice vectors corresponding to the Abrikosov lattice, we find a stable FRG fixed point in the presence of disorder for $14$ and so the physical case ($n = 2$) is likely to have a first order transition. We speculate that the recent experimental findings that disorder removes the apparent first order transition are consistent with these calculations.

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