Logarithmic Correlations in Quenched Random Magnets and Polymers

1999/11/03 by John Cardy, Cardy, John · 5 citations
Physics and Astronomy · #Magnetic properties of thin films #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9911024

4 pages

arxiv created 1999/11/03 · arxiv updated 2009/11/30

Abstract

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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