Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-06-11
Physica A 246, 563 (1997).
Physics
Condensed Matter
Statistical Mechanics
14 pages (RevTeX) and 11 ps-figures. Accepted for publication in Physica A
Scientific paper
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.
Fogedby Hans C.
Jacobsen Jesper Lykke
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