Monte Carlo study of correlations near the ground state of the triangular antiferromagnetic Ising model

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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 = e-2/T is used as the temperature parameter.

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Jacobsen, J. L., & Fogedby, H. C. (1997). Monte Carlo study of correlations near the ground state of the triangular antiferromagnetic Ising model. Physica A: Statistical Mechanics and Its Applications, 246(3–4), 563–575. https://doi.org/10.1016/S0378-4371(97)00323-3

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