Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet

Details Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet

1995-02-13

arxiv.org/abs/cond-mat/9502053v2

Physics

Condensed Matter

RevTex, 12 pages, 3 figures whose hard copies are available upon request.

Scientific paper

For the two dimensional random bond disordered Ising ferromagnet, we measured bulk data of the magnetic susceptibility ($\chi$) and correlation length ($\xi$) up to $\xi \simeq 536$, 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 $\chi$ and $\xi$ increase continuously with the strength of disorder.

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