Quantum theory of magnetomicrowave conductivity in semiconductors

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Abstract
A quantum theory using a density matrix for microwave electric conductivity in the presence of a magnetic field of arbitrary strength, within the effective-mass approximation, is described. No ad hoc introduction of relaxation time or transition probabilities as in the solution of the Boltzmann transport equation is made. The frequency-dependent relaxation time is included in the formalism in a natural way by means of a formal manipulation of Liouville's equation for the density matrix and then making approximations for the case of electron scattering via acoustic and optic phonons in the nonpolar model. The components of magnetoconductivity are obtained in a form suitable for numerical computation.