  Several spin-orbit effects allow performing spin to charge inter-conversion:
the spin Hall effects, the Rashba effect, or the spin-momentum locking in
topological insulators. Here we focus on how the detection of this
inter-conversion can be made electrically, using three different cross-shaped
nanostructures. We apply these measurement configurations to the case of the
spin Hall effect in Pt, using CoFe electrodes to detect and inject spins. Both
the direct and inverse spin Hall effect can be detected, with a spin Hall
signal up to two order of magnitude higher than that of nonlocal measurements
in metallic lateral spin valves, and with a much simpler fabrication protocol.
We compare the respective signal amplitude of the three proposed geometries.
Finally, comparison of the observed spin signals with finite element method
calculations allows extracting the spin Hall angle and the spin diffusion
length of Pt.
