Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain
Condensed Matter
2015-06-25 v1
Abstract
Ground state of the bond-random antiferromagnetic S=1 Heisenberg chain with the biquadratic interaction -\beta\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 \beta\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.
Keywords
Cite
@article{arxiv.cond-mat/9710276,
title = {Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain},
author = {Yoshihiro Nishiyama},
journal= {arXiv preprint arXiv:cond-mat/9710276},
year = {2015}
}