Estimation of the Josephson critical current of a single grain: Percolation model of the resistive transition

E. Mogilko, L. Burlachkov, Y. M. Strelniker, Y. Schlesinger, S. Havlin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The granular HTS is treated here as a S-N mixture. Experimental data are used to determine the percolation threshold, f0 (the volume fraction of superconducting grains at zero resistance) and fp (corresponding to the appearance of the first spanning superconducting cluster). The latter consists of percolating channels, each carrying the Josephson critical current Ich. We demonstrate that, knowing f0 and fp as well as the morphology and orientation of the grains, one can derive realistic estimates of Ich. This is realized by assuming a parallel resistive combination, one resistor being the spanning superconducting cluster, the other the nonspanning network. The former is treated as a percolation problem while the later is described within the effective-medium theory.

Original languageEnglish
Pages (from-to)1500-1501
Number of pages2
JournalPhysica B: Condensed Matter
Volume329-333
Issue numberII
DOIs
StatePublished - May 2003

Bibliographical note

Funding Information:
This research was supported by the ISF grant 559/98 and by the BSF grant 98-370. E. M. and Y. M. S. acknowledge support of the KAMEA Fellowship program.

Keywords

  • Bi(2212)
  • Ceramics
  • Effective medium approximation
  • Josephson network
  • Percolation
  • Resistive transition

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