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

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Abstract

We calculate correlation functions of a one-dimensional spin S=1 antiferromagnetic Heisenberg model by the large-cluster-decomposition Monte Carlo method. We find that the correlation functions are well approximated by modified Bessel functions. This result supports Haldanes conjecture, and the correlation length agrees with that obtained from spin-wave theory using elementary excitation data.

Original languageEnglish
Pages (from-to)2421-2425
Number of pages5
JournalPhysical Review B
Volume40
Issue number4
DOIs
Publication statusPublished - Jan 1 1989
Externally publishedYes

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Monte Carlo method
decomposition
Bessel functions
elementary excitations
magnons

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

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title = "Spin correlation function of the S=1 antiferromagnetic Heisenberg chain by the large-cluster-decomposition Monte Carlo method",
abstract = "We calculate correlation functions of a one-dimensional spin S=1 antiferromagnetic Heisenberg model by the large-cluster-decomposition Monte Carlo method. We find that the correlation functions are well approximated by modified Bessel functions. This result supports Haldanes conjecture, and the correlation length agrees with that obtained from spin-wave theory using elementary excitation data.",
author = "Kiyohide Nomura",
year = "1989",
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doi = "10.1103/PhysRevB.40.2421",
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AU - Nomura, Kiyohide

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N2 - We calculate correlation functions of a one-dimensional spin S=1 antiferromagnetic Heisenberg model by the large-cluster-decomposition Monte Carlo method. We find that the correlation functions are well approximated by modified Bessel functions. This result supports Haldanes conjecture, and the correlation length agrees with that obtained from spin-wave theory using elementary excitation data.

AB - We calculate correlation functions of a one-dimensional spin S=1 antiferromagnetic Heisenberg model by the large-cluster-decomposition Monte Carlo method. We find that the correlation functions are well approximated by modified Bessel functions. This result supports Haldanes conjecture, and the correlation length agrees with that obtained from spin-wave theory using elementary excitation data.

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JO - Physical Review B-Condensed Matter

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