Logarithmic corrections in the two-dimensional Ising model in a random surface field

2004/02/29 by M. Pleimling, F. A. Bagamery, L. Turban +1
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn

paper · pdf · doi:10.1088/0305-4470/37/37/003

published as J. Phys. A 37 (2004) 8801 · 10 pages, 4 figures, extended version with one new section

arxiv created 2004/08/20 · arxiv updated 2009/12/01

Abstract

In the two-dimensional Ising model weak random surface field is predicted to be a marginally irrelevant perturbation at the critical point. We study this question by extensive Monte Carlo simulations for various strength of disorder. The calculated effective (temperature or size dependent) critical exponents fit with the field-theoretical results and can be interpreted in terms of the predicted logarithmic corrections to the pure system's critical behaviour.

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