A Spin-Glass and Chiral-Glass Transition in a ±J Heisenberg Spin-Glass Model in Three Dimensions

Tota Nakamura, Shin Ichi Endoh

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The possibility of a simultaneous spin-glass and chiral-glass transition is pointed out in the three-dimensional ±J Heisenberg model. It is investigated by the nonequilibrium relaxation method starting from the paramagnetic state. The finite-time scaling analysis of the relaxation function of the infinite-size system gives the spin-glass transition at Tsg/J = 0.21-0.03+0.01 and the chiral-glass transition at T cg/J = 0.22-0.04+0.01: these coincide within the acceptable range of numerical error. The critical exponent of the spin-glass susceptibility obtained is γsg = 1.9 ± 0.4, which is in agreement with the results of experiments on insulating and canonical spin-glass materials.

Original languageEnglish
Pages (from-to)2113-2116
Number of pages4
JournalJournal of the Physical Society of Japan
Issue number9
Publication statusPublished - 2002 Sep 1



  • Finite-time scaling
  • Heisenberg spin-glass model
  • Nonequilibrium relaxation method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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