The Hall conductivity in a weak homogeneous magnetic field, ωcτ≪1, is calculated. We have shown that to leading order in 1/εFτ the Hall coefficient RH is not renormalized by the electron-electron interaction. Our result explains the experimentally observed stability of the Hall coefficient in a dilute electron gas not too close to the metal-insulator transition. We avoid the currently used procedure that introduces an artificial spatial modulation of the magnetic field. The problem of the Hall effect is reformulated in a way such that the magnetic flux associated with the scattering process becomes the central element of the calculation.
|Physical Review B - Condensed Matter and Materials Physics
|Published - 15 Oct 2003