论文标题

旋转的地面相图$ s $ kitaev-heisenberg型号

Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models

论文作者

Fukui, Kiyu, Kato, Yasuyuki, Nasu, Joji, Motome, Yukitoshi

论文摘要

Kitaev模型的基态是量子自旋液体(QSL),最初是在蜂窝晶状体上以旋转$ s = 1/2 $矩的构想。近年来,该模型已从理论和实验兴趣中扩展到更高的$ S $,但是QSL基态的稳定性并未系统地阐明一般$ S $,尤其是在其他其他相互作用的情况下,这不可避免地存在于候选材料中。在这里,我们通过使用Pseudofermion功能重统一体化组方法扩展到一般$ S $,研究了Spin-$ s $ kitaev-heisenberg模型。我们表明,类似于$ s = 1/2 $的情况,较高$ s $的相图除了四个磁有序相外,还包含原始铁磁和反铁磁Kitaev模型的QSL阶段。但是,我们发现QSL阶段随着$ S $的增加而迅速缩小,对于$ S \ geq 2 $而变得消失了狭窄,而有序相之间的相位边界几乎保持完整。我们的结果提供了搜索更高$ S $ KITAEV材料的参考。

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental interests, but the stability of the QSL ground state has not been systematically clarified for general $S$, especially in the presence of other additional interactions, which inevitably exist in candidate materials. Here we study the spin-$S$ Kitaev-Heisenberg models by using an extension of the pseudofermion functional renormalization group method to general $S$. We show that, similar to the $S=1/2$ case, the phase diagram for higher $S$ contains the QSL phases in the vicinities of the pristine ferromagnetic and antiferromagnetic Kitaev models, in addition to four magnetically ordered phases. We find, however, that the QSL phases shrink rapidly with increasing $S$, becoming vanishingly narrow for $S\geq 2$, whereas the phase boundaries between the ordered phases remain almost intact. Our results provide a reference for the search of higher-$S$ Kitaev materials.

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