Exact spin-spin correlation function for the zero-temperature random-field Ising model

T. P. Handford, F. J. Perez-Reche, S. N. Taraskin

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4 Citations (Scopus)


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 spinspin 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.

Original languageEnglish
Article numberP01001
Number of pages21
JournalJournal of statistical mechanics-Theory and experiment
Publication statusPublished - Jan 2012

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