Spin Hall effect in metallic Pt is studied with first-principles relativistic band calculations. It is found that intrinsic spin Hall conductivity (SHC) is as large as ∼2000(ℏ/e)(Ωcm)−1 at low temperature, and decreases down to ∼200(ℏ/e)(Ωcm)−1 at room temperature. It is due to the resonant contribution from the spin-orbit splitting of the doubly degenerated d-bands at high-symmetry L and X points near the Fermi level. By modeling these near degeneracies by effective Hamiltonian, we show that SHC has a peak near the Fermi energy and that the vertex correction due to impurity scattering vanishes. We therefore argue that the large spin Hall effect observed experimentally in platinum is of intrinsic nature.
@article{arxiv.0705.0409,
title = {Intrinsic spin Hall effect in platinum metal},
author = {G. Y. Guo and S. Murakami and T. -W. Chen and N. Nagaosa},
journal= {arXiv preprint arXiv:0705.0409},
year = {2015}
}