Quantum Boltzmann equations for binary interactions between identical particles

The inhomogeneous master equation obtained in a previous paper (by Van Vliet) is employed to obtain as first-moment equation two quantum mechanical Boltzmann equations (diagonal) for systems of weakly interacting identical particles. The interactions considered are of a binary nature: fermion-fermion or boson-boson. The resulting equations have the same structure as before. The total Boltzmann equation (diagonal and nondiagonal part) is also derived.     

Periodic magnetic modulation of a two-dimensional electron gas: Transport properties

Electrical transport of the two-dimensional electron gas (2DEG) is considered in the presence of a perpendicular magnetic field(B) which is modulated weakly and periodically along one direction by −B₀sin(Kx). The magnetoresistivity exhibits novel oscillations which: 1) are 90° shifted with respect to similar oscillations discovered for a 1D electrical periodic potential, and 2) their amplitude is an order of magnitude larger than for a corresponding electrical potential modulation with strength equal to .     

Quantum Hall effect in restricted geometries

The confinement of electrons in narrow quasi-two-dimensional conducting channels, modelled with a parabolic well, leads to asymmetric Hall plateaus about complete Landau-level fillings and to saw-toothed oscillations of the dc resistivity _xx as a function of the magnetic field B. The peaks in _xx are displaced to lower B and drastically reduced from their wide-channel values. The peak values of _xx increase with increasing channel width. The corrections to σ_yx for finite channel widths and the response to oscillating electric fields are evaluated.