Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point

Abstract

We study the self-averaging properties of the three dimensional site diluted Heisenberg model. The Harris criterion \cite{critharris} states that disorder is irrelevant since the specific heat critical exponent of the pure model is negative. According with some analytical approaches \cite{harris}, this implies that the susceptibility should be self-averaging at the critical temperature ($R_{\chi }=0$). We have checked this theoretical prediction for a large range of dilution (including strong dilution) at critically and we have found that the introduction of scaling corrections is crucial in order to obtain self-averageness in this model. Finally we have computed critical exponents and cumulants which compare very well with those of the pure model supporting the Universality predicted by the Harris criterion.

arXiv comment11 pages, 11 figures, 14 tables. New analysis (scaling corrections in the g2=0 scenario) and new numerical simulations. Title and conclusions change

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• Dynamical properties of a three-dimensional diluted Heisenberg model
• Reentrant magnetic ordering and percolation in a spin-crossover system
• Scaling and self-averaging in the three-dimensional random-field Ising model
• Random-field Ising model: Insight from zero-temperature simulations
• Computation of the dynamic critical exponent of the three-dimensional Heisenberg model
• Scaling Behavior of the Heisenberg Model in Three Dimensions
• Universality of continuous phase transitions on random Voronoi graphs
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain