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Zeitschrift für Physik B Condensed Matter

, Volume 84, Issue 3, pp 353–359 | Cite as

Low density flux fluids in high —T c superconductors: The influence of disorder

  • T. Nattermann
  • M. Feigelman
  • I. Lyuksyutov
Article

Abstract

We analyze the influence of thermal and frozen-in disorder on the flux line (FL) density ρ ∞\((H - H_{c1} )^{\bar \beta } \) close to the lower critical fieldHc1. Arguments which consider the steric repulsion of fluctuating FLs give\({{\bar \beta = (d - 1)\zeta } \mathord{\left/ {\vphantom {{\bar \beta = (d - 1)\zeta } {2(1 - \zeta )}}} \right. \kern-\nulldelimiterspace} {2(1 - \zeta )}}\) with ζ the roughness exponent of a single FL andd the space dimensionality. We show by a phenomenological scaling approach and a renormalization group treatment, that this is correct only fordd c =2/ζ−1, i.e. for\(\bar \beta \leqq 1\). Ford>d c the steric FL repulsion at scales more than some critical one is irrelevant and\(\bar \beta = 1\). For disordered superconductorsd c =2 and\(\bar \beta = 1\) ford=2, 3. We also found the melting line for a FL lattice in the presence of frozen-in impurities close toHc1.

Keywords

Spectroscopy Neural Network Group Treatment State Physics Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • T. Nattermann
    • 1
  • M. Feigelman
    • 1
  • I. Lyuksyutov
    • 1
  1. 1.Fakultät für Physik und AstronomieRuhr-Universität BochumBochumFederal Republic of Germany

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