Logarithmic corrections to correlation decay in two-dimensional random-bond Ising systems

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dc.creatorLessa, Jean C.
dc.creatorde Queiroz, S. L. A.
dc.date2005-12-16
dc.date2006-07-18
dc.date.accessioned2026-07-07T06:53:26Z
dc.date.available2026-07-07T06:53:26Z
dc.descriptionThe statistics of critical spin-spin correlation functions in Ising systems with non-frustrated disorder are investigated on a strip geometry, via numerical transfer-matrix techniques. Conformal invariance concepts are used, in order to test for logarithmic corrections to pure power-law decay against distance. Fits of our data to conformal-invariance expressions, specific to logarithmic corrections to correlations on strips, give results with the correct sign, for the moments of order $n=0-4$ of the correlation-function distribution. We find an interval of disorder strength along which corrections to pure-system behavior can be decomposed into the product of a known $n$-dependent factor and an approximately $n$-independent one, in accordance with predictions. A phenomenological fitting procedure is proposed, which takes partial account of subdominant terms of correlation-function decay on strips. In the low-disorder limit, it gives results in fairly good agreement with theoretical predictions, provided that an additional assumption is made.
dc.descriptionFinal version, accepted for publication in Physical Review E
dc.identifierhttps://arxiv.org/abs/cond-mat/0512407
dc.identifierhttp://arxiv.org/abs/cond-mat/0512407
dc.identifierPhysical Review E 74, 021114 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.021114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105587
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleLogarithmic corrections to correlation decay in two-dimensional random-bond Ising systems
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