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

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  • Jacobsen, Jesper Lykke
  • Fogedby, Hans C.

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.

Suggested Citation

  • Jacobsen, Jesper Lykke & Fogedby, Hans C., 1997. "Monte Carlo study of correlations near the ground state of the triangular antiferromagnetic Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 563-575.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:3:p:563-575
    DOI: 10.1016/S0378-4371(97)00323-3
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    1. Urban, Francis & Nightingale, Ray, 1993. "World Population by Country and Region, 1950-90 and Projections to 2050," Staff Reports 278691, United States Department of Agriculture, Economic Research Service.
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