论文标题
磁场在S = 1 Kitaev Honeycomb模型中诱导自旋液体
Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
论文作者
论文摘要
我们根据密度基质重质化组（DMRG）计算研究了旋转s = 1 kitaev蜂窝模型的基态特性。由于磁场引起的时间逆向对称性破裂，针对铁磁（FM）和抗铁磁（AFM）Kitaev耦合都可以鉴定出间隙的Kitaev旋转液体。这种Kitaev自旋液体的拓扑性质由几乎量化的Wilson环，纠缠光谱中的堕落和边缘模式的存在来表现。虽然FM Kitaev旋转液体被较弱的磁场$ H _*^\ text {fm} $破坏，但AFM一个人表现出稳健性，直到较大的临界场$ h _*^^^^^\ text {afm} $。此外，仅在较大字段的AFM情况下出现一个中间非磁性阶段，$ h _*^\ text {afm} <h <h <h <h _ {**}^\ text {afm} $，然后过渡到高磁场偏振paramagnet。还检查了Kitaev旋转液体与海森堡相互作用的稳定性。我们的发现可能进一步激发对最近提出的S = 1 Kitaev材料的调查。
We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group (DMRG) calculation. With the time reversal symmetry breaking due to the magnetic field, a gapped Kitaev spin liquid is identified for both ferromagnetic (FM) and antiferromagnetic (AFM) Kitaev couplings. The topological nature of such Kitaev spin liquid is manifested by the nearly quantized Wilson loop, degeneracy in the entanglement spectra and existence of edge modes. While the FM Kitaev spin liquid is destroyed by a weaker magnetic field $H_*^\text{FM}$, the AFM one demonstrates a robustness up to an order of magnitude larger critical field $H_*^\text{AFM}$. Moreover, an intermediate nonmagnetic phase appears only for the AFM case at larger fields, $H_*^\text{AFM} < H < H_{**}^\text{AFM}$, before the transition to a high-field polarized paramagnet. The stability of the Kitaev spin liquid against the Heisenberg interactions is also examined. Our findings may further inspire the investigation of recently proposed S=1 Kitaev materials.
