NONLINEAR GALVANOMAGNETIC EFFECTS IN SEMICONDUCTORS IN LONGITUDINAL QUANTIZING MAGNETIC FIELDS.

The standard transport equation was used to obtain the electrical conductivity by substituting the distribution function in the expression for the electric current density sigma //z//z showing that the electric conductivity has a singularity as a function of the magnetic field when the magnetophonon resonance condition omega //o equals N OMEGA is satisfied (N is an integer). Far from the resonance ( DELTA equals one-half ) and for DELTA yields 1 (from the direction of strong fields) and for DELTA yields 0 (from the direction of weak fields) the equations show that SIGMA //z//z has a discontinuity at the resonance point. In the neighborhood of the resonance, sigma //z//2( DELTA ) exhibits a maximum (on the low-field side of the resonance), whose magnitude increases when the strength of the magnetic field is increased and is independent of electric field.