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Title: Exact spin–spin correlation function for the zero-temperature random-field Ising model
Authors: Handford, P.
Perez-Reche, Francisco J.
Taraskin, S. N.
Affiliation: University of Abertay Dundee. School of Contemporary Sciences
Keywords: Exact results
Barkhausen noise (theory)
Correlation functions (theory)
Critical exponents and amplitudes (theory)
Issue Date: Jan-2012
Publisher: Institute of Physics
Type: Journal Article
Refereed: peer-reviewed
Rights: This is an author-created, un-copyedited version of an article accepted for publication in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher-authenticated version is available online at http://dx.doi.org/10.1088/1742-5468/2012/01/P01001
Citation: Handford, P., Perez-Reche, F.-J. and Taraskin, S.N. 2012. Exact spin–spin correlation function for the zero-temperature random-field Ising model. Journal of Statistical Mechanics: Theory and Experiment. 2012: P01001. Available from http://dx.doi.org/10.1088/1742-5468/2012/01/P01001
Abstract: An exact expression for the spin–spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin–spin correlations and separated from the intrinsic topological length scale of the Bethe lattice is shown to diverge as a power law at the critical point. The critical exponents governing the behaviour of the correlation length are consistent with the mean-field values found for a hypercubic lattice with dimension greater than the upper critical dimension.
URI: http://hdl.handle.net/10373/1273
ISSN: 1742-5468
Appears in Collections:Science Engineering & Technology Collection

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