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

Yoshihiro Nishiyama

Physica A: Statistical Mechanics and its Applications, 1998, vol. 252, issue 1, 35-47

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.

Keywords: singlet phase; Exact-; diagonalization method (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:252:y:1998:i:1:p:35-47

DOI: 10.1016/S0378-4371(97)00616-X

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