论文标题
从su（2）$ _ 5 $到su（2）$ _ 3 $ wess-zumino-in-on-intentertions在沮丧的Spin-5/2链中
From SU(2)$_5$ to SU(2)$_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
论文作者
论文摘要
我们研究了具有下一个最新邻居的两个和三个位点相互作用的沮丧的自旋-5/2链的特性，其中有两个问题：三个位点相互作用引起的过渡到二聚体相的性质，以及在下一个最邻居相互作用的中间值中可能存在临界浮动相。我们提供了有力的证据表明，连续过渡到二聚体阶段，在Wess-Zumino-witter-witten Su（2）$ _ {2S} $普遍性班级中，该阶段通常是SU（2）$ _ 5 $，仅在两个相图的隔离点上，并且在两个隔离的点上，它是SU（2）$ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $ _ 3 $（2） su（2）$ _ 5 $，随着沿su（2）$ _ k $的重新归一化流量的平等索引的均等，$ k $不同。我们还发现，下一个最新的邻居相互作用引起的二聚化是一个三步过程，首先是一个小的部分二聚体相位，然后在达到完全二聚体相位之前具有宽阔的临界浮动相。简要讨论了氧化铁$ {\ mathrm {bi}} _ {3} {\ Mathrm {pemo}} _ {2} {\ Mathrm {o}} _ {12} $的含义。
We investigate the properties of a frustrated spin-5/2 chain with next-nearest neighbor two and three-site interactions, with two questions in mind: the nature of the transition into the dimerized phase induced by the three-site interaction, and the possible presence of a critical floating phase at intermediate values of the next-nearest neighbor interaction. We provide strong evidence that the continuous transition into the dimerized phase, which has been found to be generically in the Wess-Zumino-Witten SU(2)$_{2S}$ universality class up to spin $S=2$, is SU(2)$_5$ only at two isolated points of the phase diagram, and that it is SU(2)$_3$ in between, in agreement with the presence of two relevant operators allowed by symmetry for SU(2)$_5$, and with the conservation of the parity of the level index along the renormalization flow between SU(2)$_k$ theories with different values of $k$. We also find that the dimerization induced by the next-nearest neighbor interaction is a three step process, with first a small partially dimerized phase followed by a broad critical floating phase with incommensurate correlations before the fully dimerized phase is reached. Implications for the iron oxide ${\mathrm{Bi}}_{3}{\mathrm{FeMo}}_{2}{\mathrm{O}}_{12}$ are briefly discussed.
