Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain

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Abstract

The ground state of the bond-random antiferromagnetic S = 1 Heisenberg chain with the biquadratic interaction -β∑i(Si · Si+1)2 is investigated by means of the exact-diagonalization method and the finite-size-scaling analysis. It is shown that the Haldane phase β ≈ 0 persists against the randomness; namely, no randomness-driven phase transition is observed until at a point of extremely broad-bond distribution. We found that in the Haldane phase, the magnetic correlation length is kept hardly changed. These results are contrastive to those of an analytic theory which predicts a second-order phase transition between the Haldane and the random-singlet phases at a certain critical randomness.

Original languageEnglish
Pages (from-to)35-47
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume252
Issue number1-2
DOIs
Publication statusPublished - Apr 1 1998

Keywords

  • Bond randomness
  • Exact-diagonalization method
  • Haldane phase
  • Random-singlet phase

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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