Journal of Physics A Mathematical and General

Dimensional reduction and correlation functions on 3D lattice models

Antoine Georges, David Hansel, Pierre Le Doussal, J.-M. Maillard

Published Oct 21, 1987• 11 citations

Abstract

The exact calculation of an infinite number of correlation functions for general cubic and HCP anisotropic Ising models on their 'disorder variety' is described. The intra-plane correlation functions are found to be exactly the same as for a two-dimensional free-fermion Ising model. This allows the authors to characterise the intersection between the disorder and critical variety which displays in general anisotropic scaling with non-trivial exponents.

DOI: 10.1088/0305-4470/20/15/041

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