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We study the origin of the intrinsic spin Hall conductivity (SHC) and thed-orbital Hall conductivity (OHC) in Pt based on a multiorbital tight-bindingmodel with spin-orbit interaction. We find that the SHC reaches 1000\hbar/e\Omega cm when the resistivity \rho is smaller than ~10 \mu\Omega cm,whereas it decreases to 300 \hbar/e\Omega cm when \rho ~ 100 \mu\Omega cm. Inaddition, the OHC is still larger than the SHC. The origin of huge SHE and OHEin Pt is the large ``effective magnetic flux'' that is induced by theinterorbital transition between d_{xy}- and d_{x2-y2}-orbitals with the aid ofthe strong spin-orbit interaction.

Study of intrinsic spin and orbital Hall effects in Pt based on a (6s, 6p, 5d) tight-binding model