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arXiv 1201.4563cond-mat.mes-hall
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Rashba自旋-轨道相互作用驱动的Kagome晶格中的自旋霍尔效应

Spin Hall effect in a Kagome lattice driven by Rashba spin-orbit interaction

Moumita Dey, Santanu K. Maiti, S. N. Karmakar

摘要:

本文利用四端Landauer-Büttiker方法和Green函数技术,在干净极限下,数值计算了有和无外加磁通量时,有限尺寸kagome晶格中Rashba自旋轨道相互作用的自旋霍尔电导和纵向电导.在没有磁通量的情况下,我们观察到,根据费米表面拓扑结构的系统SHC改变其符号在不同的值的费米能量,随着带中心。不像无限系统(其中SHC是一个普遍的常数$\pm \frac{e}{8 π}$),这里的SHC取决于外部参数,如SO耦合强度,费米能量等,我们表明,在任何任意的磁通量的存在下,系统的周期性丢失和功能的SHC往往会得到减少,因为弹性散射。但同样在一些典型的通量值($f =1/2,1/4,3/4...,等等)。该系统保持了依赖于其尺寸的周期性,并且自旋霍尔效应(SHE)的特征再现。我们的预测结果可能是有用的,在提供更深入的了解SHE在这样的几何形状的实验实现。

英文摘要:

Using four-terminal Landauer-Büttiker formalism and Green's function technique, in this present paper, we calculate numerically spin Hall conductance (SHC) and longitudinal conductance of a finite size kagome lattice with Rashba spin-orbit (SO) interaction both in presence and absence of external magnetic flux in clean limit. In the absence of magnetic flux, we observe that depending on the Fermi surface topology of the system SHC changes its sign at different values of Fermi energy, along with the band center. Unlike the infinite system (where SHC is a universal constant $\pm \frac{e}{8 π}$), here SHC depends on the external parameters like SO coupling strength, Fermi energy, etc. We show that in the presence of any arbitrary magnetic flux, periodicity of the system is lost and the features of SHC tends to get reduced because of elastic scattering. But again at some typical values of flux ($ϕ=1/2, 1/4, 3/4..., etc.) the system retains its periodicity depending on its size and the features of spin Hall effect (SHE) reappears. Our predicted results may be useful in providing a deeper insight into the experimental realization of SHE in such geometries.

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