Spin-correlation functions of the S=1 Heisenberg-Ising chain by the large-cluster-decomposition Monte Carlo method

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Abstract

We study the spin-correlation functions of the one-dimensional S=1 antiferromagnetic Heisenberg-Ising model by the large-cluster-decomposition Monte Carlo method. It is found that this model shows a second-order transition at the anisotropy parameter c=1.167±0.007. The obtained critical exponents (=0.253±0.002, =0.126±0.007, 1/2=0.98±0.02) strongly suggest that this transition belongs to the same universality class as the two-dimensional Ising model.

Original languageEnglish
Pages (from-to)9142-9146
Number of pages5
JournalPhysical Review B
Volume40
Issue number13
DOIs
Publication statusPublished - Jan 1 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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