Spin-Hall Conductivity and Pauli Susceptibility in the Presence of Electron-Electron Interactions

Abstract

We found the universal relationship between frequency-dependent spin-Hall conductivity and magnetic susceptibility in clean 2D electron systems with Rashba coupling: ${\sigma }_{sH}(\Omega )=\frac{e}{(g{\mu }_B{)}^2{m}_b}{\chi }_{\parallel }(\Omega )$ in the presence of an arbitrary two-particle spin-conserving interaction. We show that the Coulomb interaction renormalizes the spin-Hall constant. The magnitude of the relative correction to ${\sigma }_{sH}$ is proportional to the Coulomb interaction parameter $e^2/\epsilon v_F\hslash$ and does not depend on the strength of the Rashba coupling $\alpha$.

4 pages, 3 figures