On weak vs. strong universality in the two-dimensional random-bond Ising ferromagnet

Details On weak vs. strong universality in the two-dimensional random-bond Ising ferromagnet On weak vs. strong universality in the two-dimensional random-bond Ising ferromagnet

1996-08-20

arxiv.org/abs/cond-mat/9608083v1

Physics

Condensed Matter

RevTeX code, 4 pages plus 2 Postscript figures; to appear in Physical Review B Rapid Communications

Scientific paper

10.1103/PhysRevB.54.R9616

We address the issue of universality in two-dimensional disordered Ising systems, by considering long, finite-width strips of ferromagnetic Ising spins with randomly distributed couplings. We calculate the free energy and spin-spin correlation functions (from which averaged correlation lengths, $\xi^{ave}$, are computed) by transfer-matrix methods. An {\it ansatz} for the size-dependence of logarithmic corrections to $\xi^{ave}$ is proposed. Data for both random-bond and site-diluted systems show that pure system behaviour (with $\nu=1$) is recovered if these corrections are incorporated, discarding the weak--universality scenario.

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