ELECTRON-ELECTRON INTERACTION EFFECT ON THE CONDUCTIVITY AND THE HALLCONDUCTIVITY OF WEAKLY DISORDERED ELECTRON-SYSTEMS

The effect of the electron-electron Coulomb interaction on the conduct ivity and Hall conductivity of weakly disordered (T tau > 1, where tau is the electron mean free path) three-and two-dimensional electron sy stems is studied. We find that (i) temperature-dependent interaction c orrections to the impurity resistivity and the Hall coefficient are po sitive in three and two dimensions; (ii) in two dimensions, gapless pl asmons and particle-hole excitations both contribute to the electron-e lectron-impurity interference correction, to the resistivity; and (iii ) in two-dimensional electron systems such as GaAs heterojunctions, th e electron-electron interaction gives the leading temperature-dependen t correction to the impurity conductivity and the Hall conductivity mo re important than the corresponding corrections from the piezoelectric electron-phonon interaction.[S0163-1829(98)04419-1].