Abstract
General transport equations for a system of independent electrons in a random array of impurities of arbitrary range and in a magnetic field of arbitrary strength are derived on the basis of conventional perturbation theory, and the general structure of the transverse transport coefficients is discussed. Contrary to kinetic theory, within this framework it is easy to formulate “conserving” approximations, which include collision-broadening effects self-consistently. It is demonstrated, how for high magnetic field explicit results for the transverse transport coefficients can be obtained, which are free of the divergencies appearing in the kinetic theory.
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Gerhardts, R.R. Self-consistent transport equations for the electron-impurity system in a magnetic field. Z Physik B 22, 327–336 (1975). https://doi.org/10.1007/PL00020754
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DOI: https://doi.org/10.1007/PL00020754