论文标题
沮丧的yb $ _3 $ ga $ _5 $ o $ _ {12} $石榴石中的紧急磁性行为
Emergent magnetic behaviour in the frustrated Yb$_3$Ga$_5$O$_{12}$ garnet
论文作者
论文摘要
我们报告了中子散射，磁化率和蒙特卡洛理论分析，以验证yb $ _3 $ _3 $ ga $ _5 $ o $ o $ $ _ {12} $单晶的磁结构和自旋旋转相关性的短范围性质。 YB $^{3+}的量子旋转状态已验证。量子旋转组织成一个短距离的新兴董事州，以t $ <$ 0.4 K的速度源自各向异性和邻居交换。我们得出了近邻居交流的大小$ 0.6 \; {\ rm k} <j_1 <0.7 \; {\ rm k}，j_2 = 0.12 $ 〜k和二极化交换互动的大小，$ d $，$ 0.18 <d <0.21 $ k。广泛实验数据集的某些方面可以使用$ j_1d $ a $ j_1d $模型使用$ j_1d $ j _ $ j $ j $ j $ j $ j $ j $ j $ j $ j $ j $ j $ j $ j $与抗铁磁近邻居自旋旋转相关性。因此，尽管我们没有量化所有相关的交流交互，但我们仍然为理解完全描述yb $ _3 $ _3 $ ga $ _5 $ _5 $ o $ o $ o $ _ {12} $的复杂汉密尔顿所需的复杂汉密尔顿人提供了强有力的基础。
We report neutron scattering, magnetic susceptibility and Monte Carlo theoretical analysis to verify the short range nature of the magnetic structure and spin-spin correlations in a Yb$_3$Ga$_5$O$_{12}$ single crystal. The quantum spin state of Yb$^{3+}$ in Yb$_3$Ga$_5$O$_{12}$ is verified. The quantum spins organise into a short ranged emergent director state for T $<$ 0.4 K derived from anisotropy and near neighbour exchange. We derive the magnitude of the near neighbour exchange interactions $0.6\; {\rm K} < J_1 < 0.7\; {\rm K}, J_2 = 0.12$~K and the magnitude of the dipolar exchange interaction, $D$, in the range $0.18 < D < 0.21$ K. Certain aspects of the broad experimental dataset can be modelled using a $J_1D$ model with ferromagnetic near neighbour spin-spin correlations while other aspects of the data can be accurately reproduced using a $J_1J_2D$ model with antiferromagnetic near neighbour spin-spin correlation. As such, although we do not quantify all the relevant exchange interactions we nevertheless provide a strong basis for the understanding of the complex Hamiltonian required to fully describe the magnetic state of Yb$_3$Ga$_5$O$_{12}$.
