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Intrinsic spin Hall conductivities are calculated for strong spin-orbitBi$_{1-x}$Sb$_x$ semimetals, from the Kubo formula and using Berry curvaturesevaluated throughout the Brillouin zone from a tight-binding Hamiltonian.Nearly-crossing bands with strong spin-orbit interaction generate giant spinHall conductivities in these materials, ranging from 474($\hbar$/e)($\Omega$cm)$^{-1}$ for bismuth to 96 ($\hbar$/e)($\Omega$cm)$^{-1}$for antimony; the value for bismuth is more than twice that of platinum. Thelarge spin Hall conductivities persist for alloy compositions corresponding toa three-dimensional topological insulator state, such asBi$_{0.83}$Sb$_{0.17}$. The spin Hall conductivity could be changed by a factorof five for doped Bi, or for Bi$_{0.83}$Sb$_{0.17}$, by changing the chemicalpotential by 0.5 eV, suggesting the potential for doping or voltage tuned spinHall current.

Tunable Giant Spin Hall Conductivities in a Strong Spin-Orbit Semimetal: Bi$_{1-x}$Sb$_x$