Two-Particle Scattering and Resistivity of Rashba Electron Gas

The electrical resistivity of a 2D electron gas that results from two-particle collisions and strong Rashba spin-orbit coupling is calculated. When combined with impurity scattering, the two-particle correction to the resistivity is proportional to the square of temperature T if only the lower helicity band is filled, but the T2 term vanishes if the Fermi level is above the Dirac point. If only the electron-electron scattering is present, the resistivity is proportional to T4ln|EF/T| below and above the Dirac point, but this term vanishes at the point itself. The results have implications for other systems with doubly-connected Fermi surfaces.