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首页> 外文期刊>Zeitschrift fur Physik, B. Condensed Matter >Stability of the Haldane state against the antiferromagnetic-bond randomness
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Stability of the Haldane state against the antiferromagnetic-bond randomness

机译：霍尔丹状态对反铁磁键随机性的稳定性

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摘要

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 coupling 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 results 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 fro sufficiently strong randomness.
机译：利用循环簇更新量子蒙特卡洛方法研究了一维键合随机S = 1的海森堡反铁磁体的基态相图。从矩形均匀分布中得出随机耦合。我们发现即使在极宽的键分布情况下，磁相关也呈指数衰减，并且相关长度几乎不变。即，霍尔丹相继续实现。该结果与精确对角化研究的结果相符，而可能与建立在幂律键分布中的分析理论的结论相矛盾。后一种理论预测，在一定的临界随机性下会发生二阶相变，并且相关长度在足够强的随机性之间会发散。

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