  Spin hall effect (SHE) in thin films is inherited by surface roughness.
Although roughness effect on SHE has been studied in thin films, but roughness
is not only parameter in rough surfaces. Our results show that how other
statistical parameters of rough surface play important role in SHE. In this
paper we investigate theoretically the effects of correlated surface roughness
in the SHE with self affine fractal surface in non-heavy metallic thin films in
the frame work of the Born approximation. The surface roughness is described by
the k-correlation model and is characterized by the roughness exponent H (0 <=
H <= 1), the in plane correlation length kesi and the rms roughness amplitude
delta. We show that the spin Hall angle can increase by one order of magnitude
when H decreasing from H = 1 to H = 0. We also demonstrate the SHE for surface
roughness with distribution function of the Gaussian profile is mainly
contributed by the side jump scattering while for that with a non-Gaussian
profile, both side jump and skew scattering are present. our achievements
demonstrate the important role of roughness texture profile for SHE in
non-heavy metals.
