Quantum Monte Carlo calculation of the J1-J2 model

Tota Nakamura, Naomichi Hatano

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The Néel and collinear order parameters of the J1-J 2 model are calculated by the quantum Monte Carlo simulation with the reweighting method. Systems of sizes N=4 x 4, 4 x 8 and 8 x 8 are treated. The thermodynamic quantities obtained by the size extrapolation suggest that the Néel order remains finite for α≤0.4 and vanishes for α>0.6, where α is defined by J2/J1, and that the collinear order remains for α≥0.7 and vanishes for α<0.6. The present result is consistent with the result of the modified spin-wave calculation, conflicting with that of the naive spin-wave theory.

Original languageEnglish
Pages (from-to)3062-3070
Number of pages9
JournalJournal of the Physical Society of Japan
Volume62
Issue number9
Publication statusPublished - 1993 Sep
Externally publishedYes

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magnons
extrapolation
thermodynamics
simulation

Keywords

  • J-J model
  • Quantum Monte Carlo method
  • Reweighting method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Quantum Monte Carlo calculation of the J1-J2 model. / Nakamura, Tota; Hatano, Naomichi.

In: Journal of the Physical Society of Japan, Vol. 62, No. 9, 09.1993, p. 3062-3070.

Research output: Contribution to journalArticle

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AB - The Néel and collinear order parameters of the J1-J 2 model are calculated by the quantum Monte Carlo simulation with the reweighting method. Systems of sizes N=4 x 4, 4 x 8 and 8 x 8 are treated. The thermodynamic quantities obtained by the size extrapolation suggest that the Néel order remains finite for α≤0.4 and vanishes for α>0.6, where α is defined by J2/J1, and that the collinear order remains for α≥0.7 and vanishes for α<0.6. The present result is consistent with the result of the modified spin-wave calculation, conflicting with that of the naive spin-wave theory.

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