Orbital Hall effect in transition metals from first-principles scattering calculations

We use first-principles scattering calculations based upon wave-function matching and implemented with a tight-binding muffin-tin orbital basis to evaluate the orbital Hall conductivity σoH for Ti, V, Cr, Cu, and Pt metals with temperature-induced lattice disorder. Only interatomic fluxes of orbital angular momentum are included in these estimates; intra-atomic fluxes, which do not contribute to the transfer of angular momentum are explicitly excluded. The resistivity and orbital Hall angle are both found to be linear in temperature so σ_oH is at most weakly temperature dependent. The value of σ_oH we obtain for bulk Cr is ≈2×10³(/e)(ωcm)^-1, which is substantially lower than previously obtained theoretical results (but in better agreement with values extracted from experiment). In units of 10³(ℏ/e)(ωcm)^-1, the values obtained for Ti, V, and Pt are 5, 6, and 7, respectively.