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Dimerizations in spin-S antiferromagnetic chains with three-spin interaction

机译:自旋S反铁磁链中具有三轴相互作用的二聚体

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摘要

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-25 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.
机译:我们讨论具有三自旋相互作用,次近邻相互作用和键交替的自旋S反铁磁海森堡链。首先,我们严格证明该系统中存在精确二聚化基态的参数区域。这是Majumdar-Ghosh模型对任意S的推广。接下来,我们通过介绍几种有效的场论讨论模型的基态相图,并用25 SU(2)级描述过渡的通用性类。 )Wess-Zumino-Witten模型和高斯模型。最后,我们通过使用精确的对角化和能级光谱学确定S = 1和S = 3/2系统的相图。

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