Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction

Abstract

We study the spin Hall effect in the kagomé lattice with Rashba spin-orbit coupling. The conserved spin Hall conductance ${\sigma }_{xy}^s$ (see text) and its two components, i.e., the conventional term ${\sigma }_{xy}^{s0}$ and the spin-torque-dipole term ${\sigma }_{xy}^{s\tau }$, are numerically calculated, which show a series of plateaus as a function of the electron Fermi energy ${\epsilon }_F$. A consistent two-band analysis, as well as a Berry-phase interpretation, is also given. We show that these plateaus are a consequence of the various Fermi-surface topologies when tuning ${\epsilon }_F$. In particular, we predict that compared to the case with the Fermi surface encircling the $\mathbf{\Gamma }$ point in the Brillouin zone, the amplitude of the spin Hall conductance with the Fermi surface encircling the $\mathbf{K}$ points is twice enhanced, which makes it highly meaningful in the future to systematically carry out studies of the $\mathbf{K}$-valley spintronics.

7 pages, 3 figures. Phys. Rev. B (in press)

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