论文标题
蜂窝晶格上关键的二维$ JQ_3 $模型中非磁性杂质的异常居里常数的证据
Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $JQ_3$ model on the honeycomb lattice
论文作者
论文摘要
curie常数$ c^{*} = \ lim_ {t \ rightarrow 0}tχ_ {\ text {imp}} $的spin-1/2 $，使用量子蒙特卡洛模拟计算spin-1杂质。在这里，杂质敏感性$χ_ {\ text {imp}} $是有或没有杂质的均匀敏感性和$ t $的差异是温度。此外，蜂窝晶格上的二维量子$ JQ_3 $模型被认为是主机系统。 $tχ_ {\ text {imp}} $作为函数$ t $进行了详细研究。值得注意的是，我们的数据强烈表明，$ C^*> 0.25 $和$ C^*> 2/3 $分别为Spin-1/2和Spin-1杂质。特别是，尽管由于有限尺寸的效果，未能得出明确的结论，但我们发现与自旋1/2杂质相关的居里常数可能会收敛到大于文献中0.262（2）的既定结果。这里达到的结果提供了一些证据，表明研究的$ JQ_3 $系统观察到了分数杂质旋转。
The Curie constants $C^{*} = \lim_{T\rightarrow 0}Tχ_{\text{imp}}$ of a spin-1/2 and a spin-1 impurities are calculated using the quantum Monte Carlo simulations. Here the impurity susceptibility $χ_{\text{imp}}$ is the difference between the uniform susceptibilities with and without the impurity and $T$ is the temperature. Moreover, the two-dimensional quantum $JQ_3$ model on the honeycomb lattice is considered as the host system. $Tχ_{\text{imp}}$ as a function $T$ is investigated in great detail. Remarkably, our data indicate strongly that $C^* > 0.25$ and $C^* > 2/3$ for the spin-1/2 and the spin-1 impurities, respectively. In particular, although no definite conclusion is obtained due to finite-size effects, we find the Curie constant associated with a spin-1/2 impurity likely converges to a value greater than the established result of 0.262(2) in the literature. The outcomes reached here provide certain evidence that fractional impurity spin is observed for the studied $JQ_3$ system.
