Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet

Jae-Kwon Kim

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Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet

Jae-Kwon Kim

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Abstract

For the two dimensional random bond disordered Ising ferromagnet, we measured bulk data of the magnetic susceptibility ($χ$) and correlation length ($ξ$) up to $ξ\simeq 536$, with the use of a novel finite size scaling Monte Carlo technique. Our data are exclusively consistent with normal power-law critical behaviors with only one singular point at criticality, disproving the existence of Griffiths singularity even in an extremely deep scaling region. The critical exponents of $χ$ and $ξ$ increase continuously with the strength of disorder.

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Jae-Kwon Kim. 1995-03-03. Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet. https://arxiv.org/abs/cond-mat/9502053

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