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

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

2008-12-31

arxiv.org/abs/0901.0053v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.79.035323

We study the spin Hall effect in the kagom\'{e} 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.

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