论文标题
表征旋转的kitaev量子旋转液体
Characterizing spin-one Kitaev quantum spin liquids
论文作者
论文摘要
与$ s $ = 1/2的本地矩相互作用的债券相互作用的物质实现使量子自旋液体的研究至关重要。最近，已经提出，基塔夫相互作用的高自旋类似物也可能发生在许多具有强旋轨耦合的材料中。与蜂窝晶格上著名的$ s $ = 1/2 kitaev型号相反，高型基塔夫型号无法完全解决。因此，这些系统中量子自旋液体的存在仍然是一个重大问题。在这项工作中，我们使用密度矩阵重新归一化组（DMRG）方法来数值研究$ s $ = 1 Kitaev模型，具有铁磁性（FM）和抗铁磁（AFM）相互作用。使用具有各种圆周的圆柱几何形状上的结果，我们得出结论，$ s $ = 1 Kitaev模型的基态是一种量子旋转液体，具有$ \ Mathbb {Z} _2 _2 $仪表结构。我们还限制了激发差距，事实证明这很小。 FM和AFM型号的磁场响应与$ S $ = 1/2的磁场响应相似。特别是，在AFM $ s $ = 1型号中，在系统进入琐碎的极化状态之前，在磁场强度的中间窗口中出现了无间隙量子液态。
Material realizations of the bond-dependent Kitaev interactions with $S$=1/2 local moments have vitalized the research in quantum spin liquids. Recently, it has been proposed that higher-spin analogues of the Kitaev interactions may also occur in a number of materials with strong spin-orbit coupling. In contrast to the celebrated $S$=1/2 Kitaev model on the honeycomb lattice, the higher-spin Kitaev models are not exactly solvable. Hence, the existence of quantum spin liquids in these systems remains an outstanding question. In this work, we use the density matrix renormalization group (DMRG) methods to numerically investigate the $S$=1 Kitaev model with both ferromagnetic (FM) and antiferromagnetic (AFM) interactions. Using results on a cylindrical geometry with various circumferences, we conclude that the ground state of the $S$=1 Kitaev model is a quantum spin liquid with a $\mathbb{Z}_2$ gauge structure. We also put a bound on the excitation gap, which turns out to be quite small. The magnetic field responses for the FM and AFM models are similar to those of the $S$=1/2 counterparts. In particular, in the AFM $S$=1 model, a gapless quantum liquid state emerges in an intermediate window of magnetic field strength, before the system enters a trivial polarized state.
