We investigate a disorderly mesoscopic device that supports spin-orbit interaction. The system is connected to four semi-infinite leads embedded in the Landauer-Buttiker setup for quantum transport and, according to our analysis, exhibits spin Hall angle fluctuations. We show analytically and numerically the fingerprint of the universal fluctuation of the polarization mediated by the conversion of charge current into spin current. Our investigation shows the complete compatibility of our analytical and numerical results with the most recent experiments. Furthermore, we show nonzero and universal features of spin Hall effect in Rashba two-dimensional electron gas with disorder. All the results show the relevance of microscopic parameters for electronic transport with charge-spin conversion and, in many cases, inevitably lead to universal numbers.

• Received 5 May 2020
• Revised 23 June 2020
• Accepted 25 June 2020

DOI:https://doi.org/10.1103/PhysRevB.102.041107