Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-05-03
Phys. Rev. Lett. 100, 096401 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Accepted for publication in Phys. Rev. Lett
Scientific paper
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 $\sim 2000 (\hbar/e)(\Omega {\rm cm})^{-1}$ at low temperature, and decreases down to $\sim 200 (\hbar/e)(\Omega {\rm cm})^{-1}$ 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.
Chen Tsung-Wei
Guo Guang Yu
Murakami Satoshi
Nagaosa Naoto
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