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Percolating granular superconductors.

Hans-Karl Janssen1, Olaf Stenull

  • 1Institut für Theoretische Physik III, Heinrich-Heine-Universität, Universitätsstrasse 1, 40225 Düsseldorf, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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We studied magnetic fluctuations in granular superconductors using a random Josephson network model. Our analysis reveals critical behaviors in superconducting and spin-glass transitions, offering insights into complex material phases.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Granular superconductors exhibit complex phase diagrams with normal, superconducting, and spin-glass phases.
  • Understanding transitions between these phases, particularly at low temperatures, is crucial for materials science.
  • Diamagnetic fluctuations are key indicators of superconducting properties.

Purpose of the Study:

  • To investigate diamagnetic fluctuations in percolating granular superconductors.
  • To analyze the normal-superconducting and normal-spin-glass transitions.
  • To determine the critical behavior of diamagnetic susceptibility and magnetic moment fluctuations.

Main Methods:

  • Utilized a random Josephson network model for granular superconductors.

Related Experiment Videos

  • Applied renormalized field theory methods for analysis.
  • Examined Feynman diagrams contributing to renormalization of magnetic properties.

    • Main Results:

    • Investigated diamagnetic susceptibility (chi((1))) and mean square magnetic moment fluctuations (chi((2))).
    • Analyzed critical behavior of chi((1)) and chi((2)) to arbitrary order in perturbation theory.
    • Structural properties of Feynman diagrams were studied to understand renormalization effects.

    Conclusions:

    • The study provides a theoretical framework for understanding diamagnetic fluctuations in granular superconductors.
    • Renormalized field theory offers a powerful method for analyzing complex phase transitions.
    • Insights into critical behaviors are essential for the development of novel superconducting materials.