论文标题
在沮丧的Spin-3/2链中浮动，临界和二聚体
Floating, critical and dimerized phases in a frustrated spin-3/2 chain
论文作者
论文摘要
我们研究了带有抗磁性近距离邻居$ j_1 $的Spin-3/2链中的自发二聚化和新兴差异性，下一个Nearest-Neighbor $ J_2 $和三个站点$ J_3 $互动。 In the absence of three-site interaction $J_3$, we provide evidence that the model undergoes a remarkable sequence of three phase transitions as a function of $J_2/J_1$, going successively through a critical commesurate phase, a partially dimerized gapped phase, a critical floating phase with quasi-long-range incommensurate order, to end up in a fully dimerized phase at very large $J_2/J_1$.在现场理论语言中，这意味着负责二聚化的边际运算符的耦合常数发生了3次。 For large enough $J_3$, the fully dimerized phase is stabilized for all $J_2$, and the phase transitions between the critical phases and this phase are both Wess-Zumino-Witten (WZW) SU(2)$_3$ along part of the boundary and turn first order at some point due to the presence of a marginal operator in the WZW SU(2)$_3$ model.相比之下，两个二聚体相之间的跃迁始终是一阶，并且部分二聚体相位和临界阶段之间的相变是kosterlitz- thouless。最后，我们讨论了有趣的旋转1/2边缘，这些边缘在部分二聚体相中出现了偶数链。与Spin-1链中的对应物不同，它们在增加$ j_2 $以重组二聚化模式时不会被限制并消失。
We study spontaneous dimerization and emergent criticality in a spin-3/2 chain with antiferromagnetic nearest-neighbor $J_1$, next-nearest-neighbor $J_2$ and three-site $J_3$ interactions. In the absence of three-site interaction $J_3$, we provide evidence that the model undergoes a remarkable sequence of three phase transitions as a function of $J_2/J_1$, going successively through a critical commesurate phase, a partially dimerized gapped phase, a critical floating phase with quasi-long-range incommensurate order, to end up in a fully dimerized phase at very large $J_2/J_1$. In the field theory language, this implies that the coupling constant of the marginal operator responsible for dimerization changes sign three times. For large enough $J_3$, the fully dimerized phase is stabilized for all $J_2$, and the phase transitions between the critical phases and this phase are both Wess-Zumino-Witten (WZW) SU(2)$_3$ along part of the boundary and turn first order at some point due to the presence of a marginal operator in the WZW SU(2)$_3$ model. By contrast, the transition between the two dimerized phase is always first order, and the phase transitions between the partially dimerized phase and the critical phases are Kosterlitz-Thouless. Finally, we discuss the intriguing spin-1/2 edge states that emerge in the partially dimerized phase for even chains. Unlike their counterparts in the spin-1 chain, they are not confined and disappear upon increasing $J_2$ in favour of a reorganization of the dimerization pattern.
