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ns-Tc correlations in granular superconductors.

Y Imry1, M Strongin, C C Homes

  • 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot, Israel. yoseph.imry@weizmann.ac.il

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study explores a simple granular superconductor model, explaining the Uemura and Homes correlations. The model provides definite expressions for universal coefficients in terms of known constants.

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Area of Science:

  • Condensed Matter Physics
  • Superconductivity

Background:

  • The granular model offers a framework for understanding inhomogeneous superconductors.
  • Empirical correlations, such as those by Uemura and Homes, provide insights into superconducting properties.

Purpose of the Study:

  • To investigate the Uemura and Homes correlations within the context of a simple granular superconductor model.
  • To derive explicit expressions for the coefficients in these correlations.

Main Methods:

  • Discussion of the granular model for inhomogeneous superconductors.
  • Analysis of the Uemura and Homes correlations using the granular model.
  • Derivation of analytical expressions for correlation coefficients.

Main Results:

  • Both Uemura and Homes correlations are shown to emerge from the granular superconductor model in specific limits.
  • Definite expressions for the near-universal coefficients are provided.
  • These coefficients are expressed in terms of established physical constants.

Conclusions:

  • The simple granular superconductor model successfully explains the Uemura and Homes correlations.
  • The derived expressions offer a theoretical basis for the observed universal coefficients.
  • This work provides a unified understanding of these important superconducting relationships.