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

Abstract

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.

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

References in corpus (4)

• Critical Behaviour of the Randomly Spin--Diluted 2-d Ising Model --- A Grand Ensemble Approach
• Critical Point Correlation Function for the 2D Random Bond Ising Model
• Transfer-matrix scaling from disorder-averaged correlation lengths for diluted Ising systems
• Correlation decay and conformal anomaly in the two-dimensional random-bond Ising ferromagnet

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