Dimerizations in spin-$S$ antiferromagnetic chains with three-spin interaction
Dimerizations in spin-$S$ antiferromagnetic chains with three-spin interaction
复制标题
具有三自旋相互作用的自旋-$S$反铁磁链中的二聚化
DOI：
10.1103/physrevb.88.224419
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
R. Komakura
中科院分区：
文献类型：
--
作者：
Zhengyan Wang;S. Furuya;M. Nakamura;R. Komakura
我们讨论了自旋S反铁磁海森堡链的三自旋相互作用，次近邻相互作用和键交替。首先，我们严格证明了该系统存在精确二聚基态的参数区域。这是Majumdar-Ghosh模型对任意S的推广。接着，我们通过引入几种有效场论讨论了模型的基态相图，并用2S SU（2）Wess-Zumino-维滕模型和Gaussian模型描述了跃迁的普适性类。最后，我们利用精确对角化和能级谱确定了S = 1和S = 3/2系统的相图。
We discuss spin-S antiferromagnetic Heisenberg chains with three-spin interactions, next-nearest-neighbor interactions, and bond alternation. First, we prove rigorously that there exist parameter regions of the exact dimerized ground state in this system. This is a generalization of the Majumdar-Ghosh model to arbitrary S. Next, we discuss the ground-state phase diagram of the models by introducing several effective field theories and the universality classes of the transitions are described by the level-2S SU(2) Wess-Zumino-Witten model and the Gaussian model. Finally, we determine the phase diagrams of S = 1 and S = 3/2 systems by using exact diagonalization and level spectroscopy.