Temperature scaling analysis of the 3D disordered Ising model with power-law correlated defects

Abstract

We consider the three-dimensional site-diluted Ising model with power-law correlated defects and study the critical behavior of the second-moment correlation length and the magnetic susceptibility in the high-temperature phase. By comparing, for various defect correlation strengths, the extracted critical exponents $\nu$ and $\gamma$ with the results of our previous finite-size scaling study, we consolidate the exponent estimates.

12 pages, 6 figures, 1 table

References in corpus (3)

• Percolation thresholds and fractal dimensions for square and cubic lattices with long-range correlated defects
• Scaling laws for random walks in long-range correlated disordered media
• Critical exponent $\nu$ of the Ising model in three dimensions with long-range correlated site disorder analyzed with Monte Carlo techniques