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

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  • Study of Intrinsic Spin and Orbital Hall Effects in Pt Based on a (6<I>s</I>, 6<I>p</I>, 5<I>d</I>) Tight-Binding Model

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We study the origin of the intrinsic spin Hall conductivity (SHC) and the d-orbital Hall conductivity (OHC) in Pt based on a multiorbital tight-binding model with spin–orbit interaction. We find that the SHC exceeds 1000 he−1·Ω−1 cm−1 when the resistivity ρ is smaller than ∼10 μΩ cm, whereas it decreases to 300 he−1·Ω−1 cm−1 when ρ∼100 μΩ cm. In addition, the OHC is still larger than the SHC. The origin of the huge spin Hall effect (SHE) and d-orbital Hall effect (OHE) in Pt is the “effective Aharonov–Bohm phase” that is induced by the interorbital transition between dxy- and dx2−y2-orbitals with the aid of the strong spin–orbit interaction.

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