Hall coefficient and magnetoresistance of two-dimensional spin-polarized electron systems

Recent measurements of the two-dimensional (2D) Hall resistance show that the Hall coefficient is independent of the applied in-plane magnetic field, i.e., the spin polarization of the system. We calculate the weak-field Hall coefficient and the magnetoresistance of a spin-polarized 2D system using the semiclassical transport approach based on the screening theory. We solve the coupled kinetic equations of the two carrier system including electron-electron interaction. We find that the in-plane magnetic field dependence of the Hall coefficient is suppressed by the weakening of screening and the electron-electron interaction. However, the in-plane magnetoresistance is mostly determined by the change of the screening of the system, and can therefore be strongly field dependent.