论文标题
蜂窝状晶格上的多键量子自旋液体
Multinode quantum spin liquids on the honeycomb lattice
论文作者
论文摘要
最近，人们意识到，基塔夫材料中的锯齿形磁顺序可以通过称为$γ'$项的小负面外偏外相互作用来稳定。为了充分了解$γ'$交互的效果，我们使用变异的蒙特卡洛方法研究了蜂窝晶格上的量子$ k $ - $γ$ - $γ'$。在$γ'> 0 $处发现了两个多键Z $ _2 $量子自旋液体（QSL），其中一种是先前发现的近距离Kitaev旋转液体，称为PKSL14状态，该状态与Kitaev Spin液体共享相同的投射对称性组（PSG）。一个了不起的结果是，具有独特psg的$π$ -Flux状态出现在较大的$γ'$下。 $π$ -Flux状态的特征是原始的布里鲁因区（BZ）中的Spinon分散体中增强的周期性结构，在实验上可观察到。有趣的是，两个PKSL8州正在与$π$ -Flux状态竞争，其中一个可以通过六旋戒指 - 交换互动来稳定。通过应用磁场来研究这些节点QSL的物理特性，结果取决于锥的数量。我们的研究揭示了一个零流量QSL的家族，其中包含$ 6n+2，in \ mathbb z $ majora蛋白锥和一个$π$ -Flux QSL的家族，其中包含$ 4（6n+2）$锥的原始BZ中。它为实现相关材料中非基塔耶ev QSL的实验实现提供了指南。
Recently it was realized that the zigzag magnetic order in Kitaev materials can be stabilized by small negative off-diagonal interactions called the $Γ'$ terms. To fully understand the effect of the $Γ'$ interactions, we investigate the quantum $K$-$Γ$-$Γ'$ model on the honeycomb lattice using the variational Monte Carlo method. Two multinode Z$_2$ quantum spin liquids (QSLs) are found at $Γ'>0$, one of which is the previously found proximate Kitaev spin liquid called the PKSL14 state which shares the same projective symmetry group (PSG) with the Kitaev spin liquid. A remarkable result is that a $π$-flux state with a distinct PSG appears at larger $Γ'$. The $π$-flux state is characterized by an enhanced periodic structure in the spinon dispersion in the original Brillouin zone (BZ), which is experimentally observable. Interestingly, two PKSL8 states are competing with the $π$-flux state and one of them can be stabilized by six-spin ring-exchange interactions. The physical properties of these nodal QSLs are studied by applying magnetic fields and the results depend on the number of cones. Our study infers that there exist a family of zero-flux QSLs that contain $6n+2, n\in\mathbb Z$ Majorana cones and a family of $π$-flux QSLs containing $4(6n+2)$ cones in the original BZ. It provides guidelines for experimental realization of non-Kitaev QSLs in relevant materials.
