Electron transport in the extreme quantum limit in applied magnetic field

The state of the art of electron transport in the extreme quantum limit in magnetic field, when only the lowest Landau subband with one spin orientation is filled, is reviewed for the ionized-impurity scattering case, the one of most experimental interest. The quasi-one-dimensionality of electron motion is taken into account. This results in an essential modification of the conduction processes both along and perpendicular to the magnetic field, in contrast to what was supposed earlier. A reasonably good agreement is obtained with experimental data.