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Phys. Rev. B 54, R9616–R9619 (1996)

Weak versus strong universality in the two-dimensional random-bond Ising ferromagnet

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F. D. A. Aarão Reis, S. L. A. de Queiroz, and Raimundo R. dos Santos
Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, 24210-340 Niterói, Rio de Janeiro, Brazil

Received 12 August 1996; published in the issue dated 1 October 1996

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, ξav, are computed) by transfer-matrix methods. An ansatz for the size dependence of logarithmic corrections to ξav is proposed. Data for both random-bond and site-diluted systems show that pure system behavior (with ν=1) is recovered if these corrections are incorporated, discarding the weak-universality scenario.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.54.R9616
DOI:
10.1103/PhysRevB.54.R9616
PACS: