Dimerization transitions in spin-1 chains
Dimerization transitions in spin-1 chains
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DOI：
10.1103/physrevb.93.241108
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发表时间：
2016-03
影响因子：
3.7
通讯作者：
Natalia Chepiga;I. Affleck;F. Mila
中科院分区：
文献类型：
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作者：
Natalia Chepiga;I. Affleck;F. Mila
我们研究自发二聚化过渡海森堡自旋1链与额外的次近邻和三个网站的相互作用，使用广泛的数值模拟和共形场理论分析。我们证明了在Wess-Zumino-维滕（WZW）SU（2）（2）或Ising普适类中，跃迁可以是二阶的，也可以是一阶的.我们认为，这些功能是通用的，因为在WZW SU（2）（2）模型中的边缘算子，因为两个拓扑不同的非二聚化阶段或没有边缘状态。我们还提供了明确的数值证据，保形塔内的自旋间隙在伊辛过渡的单线态。对其他模型的影响进行了简要讨论。
We study spontaneous dimerization transitions in a Heisenberg spin-1 chain with additional next-nearest-neighbor and three-site interactions using extensive numerical simulations and a conformal field-theory analysis. We show that the transition can be second order in the Wess-Zumino-Witten (WZW) SU(2)(2) or Ising universality class, or first order. We argue that these features are generic because of a marginal operator in the WZW SU(2)(2) model and because of two topologically distinct nondimerized phases with or without edge states. We also provide explicit numerical evidence of conformal towers of singlets inside the spin gap at the Ising transition. Implications for other models are briefly discussed.