Randomness-driven Quantum Phase Transition in Bond-alternating Haldane Chain

Randomness-driven Quantum Phase Transition in Bond-alternating Haldane Chain
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DOI:
10.1143/jpsj.74.1127
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发表时间:
2004-10
影响因子:
1.7
通讯作者:
T. Arakawa;S. Todo;H. Takayama
T. Arakawa;S. Todo;H. Takayama
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
T. Arakawa;S. Todo;H. Takayama

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讨论了键随机性对自旋1键交替反铁磁海森堡链自旋能隙基态的影响。利用圈团簇量子蒙特卡罗方法,我们研究了拓扑序的稳定性与最近提出的扭曲序参数[M。中村和S. Todo:Phys. Rev. Lett. 89(2002)077204]。据观察,二聚体阶段,以及自旋为1的海森堡链的Haldrons阶段是强大的对弱随机性,虽然在后一个阶段的价键固体拓扑秩序被破坏,通过引入一个障碍强于临界值。
The effect of bond randomness on the spin-gapped ground state of the spin-1 bond-alternating antiferromagnetic Heisenberg chain is discussed. By using the loop cluster quantum Monte Carlo method, we investigate the stability of topological order in terms of the recently proposed twist order parameter [M. Nakamura and S. Todo: Phys. Rev. Lett. 89 (2002) 077204]. It is observed that the dimer phases as well as the Haldane phase of the spin-1 Heisenberg chain are robust against a weak randomness, though the valence-bond-solid-like topological order in the latter phase is destroyed by introducing a disorder stronger than the critical value.