论文标题

$ k-γ$模型在蜂窝晶格上的地面特性

Ground-state properties of the $K-Γ$ model on a honeycomb lattice

论文作者

Yamada, Takuto, Suzuki, Takafumi, Suga, Sei-ichiro

论文摘要

我们使用串联膨胀和数值精确的对角线化研究了$ K-γ$模型的基本状态,其中该模型包括Kitaev($ k $)和对称的非对角线($γ$)相互作用。从特定键上的弱相互作用二聚体开始,我们加强了与各向同性相互作用系统的互相互作用。我们表明,根据$γ$和$ k $,二聚体状态可以在各向同性相互作用的系统中幸存下来,该系统发生相变发生,或在各向异性相互作用下遵守相变为磁有序状态。结果总结在相图中。我们还表明,在各向同性$ K-γ$模型中,kekulé二聚体状态不稳定。

We investigate the ground-state properies of the $K-Γ$ model on a honeycomb lattice using series expansions and numerical exact diagonalizations, where the model includes Kitaev ($K$) and symmetric off-diagonal ($Γ$) interactions. Starting from the weakly interacting dimers on the specific bond, we strengthen the interdimer interactions to the isotropically interacting system. We show that depending on $Γ$ and $K$, the dimer state survives up to the isotropically interacting system, where the phase transition occurs, or obeys a phase transition to a magnetically ordered state at an anisotropic interaction. The results are summarized in the phase diagram. We also show that the Kekulé dimerized state is unstable in the isotropic $K-Γ$ model.

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