Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain

Abstract

Ground state of the bond-random antiferromagnetic S=1 Heisenberg chain with the biquadratic interaction -β\sum_i(S_i S_i+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\sim0 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.

References in corpus (1)

• Percolation Transition in the random antiferromagnetic spin-1 chain

Cited by in corpus (11)

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• Comment on ``Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets"
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• Randomness-driven quantum phase transition in bond-alternating Haldane chain
• Dynamical properties of the Haldane chain with bond disorder
• Bond diluted anisotropic quantum Heisenberg model
• Random-field-driven phase transitions in the ground state of the S=1 XXZ spin chain