非共线引起的$t_{2g}$轨道Kagome晶格中的反常霍尔效应：轨道Aharonov-Bohm效应的意义
Anomalous Hall Effect in $t_{2g}$ Orbital Kagome Lattice due to Non-collinearity:Significance of Orbital Aharonov-Bohm Effect
摘要：
通过引入d轨道自由度，提出了倾斜铁磁金属中自旋结构驱动反常霍尔效应（AHE）的新机制。我们发现，在非共线自旋结构和自旋轨道相互作用的存在下，传导电子由于复杂的d轨道波函数而获得Berry相。由这种轨道导出的Berry相驱动的AHE比由自旋手征诱导的AHE大得多，这自然解释了烧绿石Nd $_2$ Mo $_2$ O $_7$中自旋结构驱动的AHE的显著特征。由于所提出的AHE甚至可以发生在共面自旋序（$M_z=0$），它有望出现在其他有趣的几何挫折系统。
英文摘要：
A new mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the d-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the complex d-orbital wavefunction, in the presence of non-collinear spin structure and the spin orbit interaction. The AHE driven by this orbital-derived Berry phase is much larger than the AHE induced by spin chirality, and it naturally explains the salient features of spin structure-driven AHE in pyrochlore Nd$_2$Mo$_2$O$_7$. Since the proposed AHE can occur even for coplanar spin orders ($M_z=0$), it is expected to emerge in other interesting geometrically frustrated systems.
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