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

Jesper Lykke Jacobsen and Hans C. Fogedby

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 3, 563-575

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.

Keywords: Ising models; Antiferromagnets; Correlation functions; Monte Carlo simulations; Finite-size scaling (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:3:p:563-575

DOI: 10.1016/S0378-4371(97)00323-3

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