Two-point correlation function for the triangular Ising antiferromagnet

David H. Wojtas and R. P. Millane

Phys. Rev. E 79, 041123 – Published 15 April 2009

Abstract

A number of aspects of the two-point correlation behavior of the nearest-neighbor, triangular Ising antiferromagnet are studied using a combination of numerical evaluation of exact expressions and Monte Carlo simulation. Existing asymptotic results for on-axis correlations at finite temperatures are evaluated and shown to be of limited accuracy. The sublattice structure of the off-axis correlation function is clarified, and rotational invariance is studied as a function of temperature. Separations and temperatures for which the correlation function is significant are identified, and a simple functional expression is developed that allows accurate calculation of the correlation function in this region.

Received 6 May 2008
Publisher error corrected 5 June 2009

DOI:https://doi.org/10.1103/PhysRevE.79.041123

Corrections

5 June 2009

Erratum

Publisher's Note: Two-point correlation function for the triangular Ising antiferromagnet [Phys. Rev. E 79, 041123 (2009)]

David H. Wojtas and R. P. Millane

Phys. Rev. E 79, 069902 (2009)

Authors & Affiliations

David H. Wojtas and R. P. Millane^*

Computational Imaging Group, Department of Electrical and Computer Engineering, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

^*rick.millane@canterbury.ac.nz

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Issue

Vol. 79, Iss. 4 — April 2009

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