Low density flux fluids in high -Tc superconductors: The influence of disorder

T. Nattermann, M. Feigelman, I. Lyuksyutov

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We analyze the influence of thermal and frozen-in disorder on the flux line (FL) density ρ ∞ {Mathematical expression} close to the lower critical field Hc1. Arguments which consider the steric repulsion of fluctuating FLs give {Mathematical expression} with ζ the roughness exponent of a single FL and d the space dimensionality. We show by a phenomenological scaling approach and a renormalization group treatment, that this is correct only for d≦dc =2/ζ-1, i.e. for {Mathematical expression}. For d>dc the steric FL repulsion at scales more than some critical one is irrelevant and {Mathematical expression}. For disordered superconductors dc=2 and {Mathematical expression} for d=2, 3. We also found the melting line for a FL lattice in the presence of frozen-in impurities close to Hc1.

Original languageEnglish
Pages (from-to)353-359
Number of pages7
JournalZeitschrift für Physik B Condensed Matter
Issue number3
Publication statusPublished - Oct 1991
Externally publishedYes


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