Effect of eccentricity in the spin accumulation effect induced in semiconductors rings with Rashba spin orbit interaction

A spin accumulation effect (SAE) is induced in a semiconductor nanoring with Rashba spin orbit interaction and pierced by a magnetic flux. We show that when the sample is not perfectly symmetric, the profile of the SAE can be highly inhomogeneous along specific orientations. In particular, we analyze the anisotropy generated in the angular profile by a finite eccentricity. We discuss the feasibility of detecting the effect with usual magneto optical techniques for a number of electrons and values of magnetic fluxes experimentally accessible.