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

A. Gordillo-Guerrero·J. J. Ruiz-Lorenzo
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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 ($R_χ=0$). 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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A. Gordillo-Guerrero, J. J. Ruiz-Lorenzo. 2007-05-17. Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point. https://doi.org/10.1088/1742-5468%2F2007%2F06%2Fp06014

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