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Crossover behavior in three-dimensional dilute spin systems.

Pasquale Calabrese1, Pietro Parruccini, Andrea Pelissetto

  • 1Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, I-56126 Pisa, Italy. calabres@df.unipi.it

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2004
PubMed
Summary

This study explores crossover behaviors in high-temperature dilute spin systems. We determined crossover functions for magnetic susceptibility and correlation length in Ising systems, and estimated universal ratios for various dilute spin models.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Quantum Field Theory

Background:

  • Dilute spin systems exhibit complex behaviors, particularly in their high-temperature phases.
  • Understanding crossovers between different universality classes is crucial for characterizing these systems.

Purpose of the Study:

  • Investigate crossover phenomena in three-dimensional dilute spin systems.
  • Determine crossover functions for magnetic susceptibility and correlation length in randomly dilute Ising systems.
  • Estimate universal ratios of scaling-correction amplitudes for dilute Ising, XY, and Heisenberg systems.

Main Methods:

  • Employ a field-theoretical approach.
  • Analyze Gaussian-to-random and pure-Ising-to-random crossovers.
  • Utilize the high-temperature Wegner expansion.

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Main Results:

  • Derived crossover functions for magnetic susceptibility and correlation length in dilute Ising systems.
  • Estimated universal ratios of scaling-correction amplitudes for various dilute spin models.
  • Provided insights into the crossover behaviors in the high-temperature phase.

Conclusions:

  • The field-theoretical approach successfully characterizes crossover behaviors in dilute spin systems.
  • The estimated universal ratios offer valuable parameters for experimental and theoretical comparisons.
  • This work contributes to a deeper understanding of critical phenomena in disordered magnetic materials.