  The defect corrections to polarization and dielectric functions of Bloch
electrons in quantum wells are first calculated. Following this, we derive the
first two moment equations from Boltzmann transport theory and apply them to
explore defect effects on magneto-transport of Bloch electrons. Meanwhile, we
obtain analytically the momentum-relaxation time and mobility tensor for Bloch
electrons making use of the screened defect-corrected polarization function.
Based on quantum-statistical theory, we further investigate the defect capture
and charging dynamics by employing a parameterized physics model for defects to
obtain defect wave functions. After this, both capture and relaxation rates, as
well as density for captured Bloch electrons, are calculated self-consistently
as functions of temperature, doping density and different defect types. By
applying the energy-balance equation, the number of occupied energy levels and
chemical potential of defects are determined, with which the transition rate
for defect capturing is obtained. By using these results, defect
energy-relaxation, capture and escape rates, and Bloch-electron chemical
potential are obtained self-consistently. At the same time, the Bloch-electron
energy- and momentum-relaxation rates, as well as the current suppression
factor, are also investigated quantitatively. Finally, by combining all these
studies together, the temperature dependence of the Hall and longitudinal
mobilities is demonstrated for Bloch electrons in either single- or
multi-quantum wells, which can be utilized for quantifying burst noise in
transistors and blinking noise in photo-detectors.
