Effective medium approximation for hopping conductivity and Josephson junctions

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Abstract

In the framework of self-consistency effective medium approximation, we derive an expression for the effective resistivity of the Miller-Abrahams resistor networks with hopping conductivities, and we compare it with results of numerical simulations of such networks. In our approach we modify the effective medium approximation to include the presence of the Josephson junctions in granular (low- and high- Tc) superconductors.

Original languageEnglish
Pages (from-to)368-371
Number of pages4
JournalPhysica B: Condensed Matter
Volume394
Issue number2
DOIs
StatePublished - 15 May 2007
Externally publishedYes

Bibliographical note

Funding Information:
This research was supported in part by grants from the Israel Science Foundation, US–Israel Binational Science Foundation, and the KAMEA Fellowship program of the Ministry of Absorption of the State of Israel.

Keywords

  • Composite materials
  • Josephson junction arrays
  • Mesoscopic and nanoscale systems
  • Percolation
  • Transport properties of superconductors

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