Abstract
In lattices, in which the Fermi surface is simply closed, the saturation values of the electrical resistivities in longitudinal/transversal magnetic fields are equal to the approximate values for the resistivities, obtained from the variational method of Kohler using rotation symetrical trial functions/constant relaxion times. — Depending upon the magnetic field direction the changes of the longitudinal and transversal resistance and of the Hall coefficient are proportional to the anisotropies ink-space perpendicular to the magnetic field direction. Depending upon the current direction the change of the transversal resistance is larger in the direction perpendicular to the smaller anisotropy. — By generalization of the results of part II of this paper (concerning special elliptic models) one can conclude, that the saturation of the transversal resistance vanishes in the direction of the axis in presence of cylindrical dispersion surfaces and perpendicular to the open orbits in presense of open oblate Fermi surfaces.
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Herrn Professor F.Hund danke ich für das stete Interesse, das er dieser Arbeit entgegenbrachte.
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Langbein, D. Elektrische Leitungsphänomene in anisotropen Medien. III. Z. Physik 167, 83–95 (1962). https://doi.org/10.1007/BF02144655
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DOI: https://doi.org/10.1007/BF02144655