Quantum Magnetotransport Theory
After recalling some fundamental facts about the motion of conduction electrons in strong magnetic fields, an elementary introduction to some aspects of the quantum magnetotransport theory is given. The main subject is the presentation of a new unified approach to static and dynamic magneto-conductivity which can be understood as a very simple special case of the Mori-formalism; the lowest order correlation approximation is related to the mode-mode coupling procedure. For vanishing magnetic field and weak coupling, the new approach is equivalent to a variational solution of the Boltzmann-Bloch transport equation. Presumably something like this is also true for strong magnetic fields. In this case, however, no general (time dependent) transport equation is available.
For quantum limit fields the new approach yields simple closed formulae for the resistivity and cyclotron resonance linewidth, for both three and two dimensional systems. In spite of some drastic simplifications, the results are in qualitative agreement with experiment.
KeywordsMagnetic Field Strong Magnetic Field Quantum Limit Relaxation Spectrum Impurity Potential
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