Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet

1995/02/13 by Jae-Kwon Kim, Kim, Jae-Kwon
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Quantum many-body systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.cond-mat/9502053

openalex publication_date 1995/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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≃ 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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