Spin Hall conductivity of interacting two-dimensional electron systems

It is well known that electron interactions in disordered systems lead to quantum corrections conductivity at low temperatures. This paper devoted the investigation of such context spin Hall effect. In Rashba model conductivity, an incoming scatters off Friedel's oscillations density a two-dimensional gas created by impurity resulting two interfering paths. The authors derive kinetic equation captures these processes, which applicable both diffusive and ballistic transport regimes. They also discuss frequency dependence conductivity.