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Physical Review E

Publisher's Note: Two-point correlation function for the triangular Ising antiferromagnet [Phys. Rev. E79, 041123 (2009)]

David H. Wojtas, Rick P. Millane

Published Jun 10, 2009• 0 citations
Publisher
DOI
10.1103/physreve.79.069902

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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.