Hybrid spin noise spectroscopy and the spin Hall effect

Abstract

Here we suggest a hybrid spin noise spectroscopy technique, which is sensitive to the spin Hall effect. Our main idea is to study correlations between transverse voltage fluctuations and spin polarization fluctuations, which appear as a result of spin-charge coupling that is fundamental for the spin Hall effect. It is shown that, while the standard spin-spin correlation function is not sensitive to the spin Hall effect, spin-transverse voltage and transverse voltage--transverse voltage correlation functions provide the missing sensitivity, which is linear and quadratic in the spin Hall coefficient, respectively. We anticipate that the proposed method could find applications in studies of spin-charge coupling in semiconductors and other materials.