Abstract
The effect of a magnetic field on the transport coefficients has been analysed in the earlier chapters by including a Lorentz force term in the Boltzmann equation and by assuming that the energy-wave-vector dispersion relations and the scattering probabilities are not altered by the magnetic field. These assumptions are not valid when the magnetic field is strong. It was shown in Sect.4.6.2 that the energy-wave-vector dispersion relation is altered in magnetic fields. The component of the electron energy corresponding to the electron wave vector transverse to the magnetic field is quantised. The conduction band thereby breaks into Landau levels. This quantisation affects the electron statistics and affects also the scattering probabilities. As a result, the theories of electron transport developed in the earlier chapters cannot be applied to explain electron motion in strong magnetic fields.KeywordsBoltzmann EquationOptic PhononStrong Magnetic FieldLandau LevelPolar Optic PhononThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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