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Monte Carlo Study of Correlations Near the Ground State of the Triangular Antiferromagnetic Ising Model

Jesper Lykke Jacobsen·Hans C. Fogedby
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Abstract

We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure factor, and a known expression for the algebraic decay of correlations enables us to examine the form of the diffusive scattering. We do so by means of a comparison between exact results and data calculated using standard Monte Carlo techniques. At non-zero temperatures the finite correlation length alters this form, and we account for the change by proposing a generalisation of the zero temperature pair correlation function. The size dependence of our simulation data is investigated through a novel finite-size scaling analysis where t = exp(-2/T) is used as the temperature parameter.

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Jesper Lykke Jacobsen, Hans C. Fogedby. 1997-06-11. Monte Carlo Study of Correlations Near the Ground State of the Triangular Antiferromagnetic Ising Model. https://arxiv.org/abs/cond-mat/9706098

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