Intrinsic Hall conductivity, emerging when chiral symmetry is broken, at the heart of future low energy consumption devices because it can generate non-dissipative charge neutral current. A breaking state also induced by electronic correlation even for centro-symmetric crystalline materials. However, generation current intrinsic conductivity such spontaneous experimentally elusive. Here we repo...

We study the linear response spin Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of the Rashba spin-orbit interaction in the diffusive transport regime. When defect scattering is modeled by isotropic short-range potential scatterers the spin Hall conductivity vanishes due to the vertex correction. A nonvanishing spin Hall effect may be recovered for dominantly forwar...