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

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

2007-03-30

arxiv.org/abs/cond-mat/0703820v2

J. Stat. Mech. (2007) P06014

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1088/1742-5468/2007/06/P06014

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.

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