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arxiv: cond-mat/9911024 · v1 · submitted 1999-11-03 · ❄️ cond-mat.stat-mech

Logarithmic Correlations in Quenched Random Magnets and Polymers

John Cardy This is my paper
classification ❄️ cond-mat.stat-mech
keywords logarithmicquenchedrandomarguedbehaviorcorrelationscriticaldescribed
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It is argued that logarithmic factors multiplying power law behavior are to be expected at or near non-mean field critical points of systems with short-range interactions described theoretically by any kind of n -> 0 limit, in which the effective free energy vanishes. Explicit examples are given for quenched random ferromagnets, polymer statistics and percolation, but the phenomenon is quite general.

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  1. Logarithmic correlation functions for critical dense polymers on the cylinder

    cond-mat.stat-mech 2019-07 unverdicted novelty 7.0

    Explicit finite-n lattice correlators for dense polymers on a cylinder are computed via Temperley-Lieb algebra and shown to match ratios of c=-2 CFT correlators involving boundary fields of dimensions -1/8 and 0, with...