自旋1 Kitaev蜂窝模型中自旋液体与自旋向列相间的量子相变
Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
AI总结：
本文利用iPEPS方法研究了蜂窝晶格自旋1模型中Kitaev自旋液体与自旋向列相的相互作用，绘制了相图并发现了两者间的直接相变及相态鲁棒性。
摘要：
除了精确可解的自旋1/2 Kitaev模型外，非精确可解的更高自旋-S模型同样是研究量子自旋液体的理想平台。高自旋-S情形的主要兴趣之一在于Kitaev自旋液体（KSL）与自旋向列相之间的相互作用。我们在具有竞争性双线性-双二次和Kitaev相互作用的蜂窝晶格自旋1模型中探究了这种相互作用。利用二维无限投影纠缠对态（iPEPS），我们绘制了铁双二次相互作用下的相图。在相图中，我们发现在纯Kitaev极限附近存在直接的KSL-自旋向列相转变。研究揭示，铁KSL对来自铁四极相互作用的微扰表现出鲁棒性。此外，自旋向列相也延伸至反铁Kitaev极限附近的参数区域。
英文摘要：
Besides the exactly solvable spin-1/2 Kitaev model, higher spin-$S$ ones, not exactly solvable, are promising playgrounds for researches on the quantum spin liquid as well. One of the main interests in higher spin-S cases is the interplay between the Kitaev spin liquid (KSL) and spin nematics. We probe this interplay in a spin-1 model on the honeycomb lattice with competing bilinear-biquadratic and Kitaev interactions. Utilizing the 2D infinite projected entangled-pair state (iPEPS), we map out the phase diagram for the ferro-biquadratic interaction. In the phase diagram, we discover the direct KSL--spin-nematics transitions in the vicinity of pure Kitaev limits. It has been revealed that the ferro KSL exhibits robustness against perturbations from ferro-quadrupolar interactions. Also, the spin-nematic phase is extended to the parameter region near the antiferro-Kitaev limit.
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