  We present the results of first-principles calculations based on density
functional theory estimating the magnitude of the current-induced spin
polarization (CISP) at the surfaces of the $5d$ transition metals with fcc and
bcc crystal structures. We predict that the largest surface CISP occurs for W
and Ta, whereas CISP is considerably weaker for Pt and Au surfaces. We then
discuss how CISP emerges over a length scale equal to few atomic layers as
opposed to the spin accumulation characteristic of the SHE, which is related to
the materials' spin diffusion length. Finally, using our estimates for the CISP
magnitude, we suggest that the spin density appearing near W surfaces in
experiments is mostly due to CISP, whereas that at Pt surfaces stems from the
Hall effect.
