Stability of the Haldane state against the antiferromagnetic-bond randomness

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Abstract

Ground-state phase diagram of the one-dimensional bond-random S = 1 Heisenberg antiferromagnet is investigated by means of the loop-cluster-update quantum Monte-Carlo method. The random couplings are drawn from a rectangular uniform distribution. We found that even in the case of extremely broad bond distribution, the magnetic correlation decays exponentially, and the correlation length is hardly changed; namely, the Haldane phase continues to be realized. This result is accordant with that of the exact-diagonalization study, whereas it might contradict the conclusion of an analytic theory founded in a power-law bond distribution instead. The latter theory predicts that a second-order phase transition occurs at a certain critical randomness, and the correlation length diverges for sufficiently strong randomness.

Original languageEnglish
Pages (from-to)335-340
Number of pages6
JournalEuropean Physical Journal B
Volume6
Issue number3
DOIs
Publication statusPublished - Jan 1 1998

Keywords

  • 75.10.jm quantized spin models
  • 75.10.nr spin glass and other random models
  • 75.40.mg numerical simulation studies

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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