Hot Electron in Strong Magnetic Field. I : General Formulation
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概要
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A theory of hot electrons in a strong magnetic field in the extreme quantum limit developed by one of the authors (J. Y.) is generalized to the cases in which electrons are distributed on a few Landau levels. Three scattering mechanisms are considered. These are scattering due to acoustical phonons, optical phonons and ionized impurities. A single spherical band is assumed for the conduction electrons in semiconductors, and phonons are assumed to be in thermal equilibrium. In general cases, the equations for the density-matrix are reduced to a set of coupled second-order difference differential equations. The equations which determine the distribution functions are derived from them. The expression of the transverse current under acoustical phonon- and ionized impurity scattering is presented. There exist terms which come from difference between the distribution functions belonging to the different Landau levels. We find that the former results of Kazarinov and Skobov and one of us (J. Y.) have a meaning only in the extreme quantum limit.
- 理論物理学刊行会の論文
- 1969-08-25
著者
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Yamashita Jiro
Institute For Solid State Physics The University Of Tokyo
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Inoue Seiichirou
Institute For Solid State Physics University Of Tokyo : Department Of Applied Science Faculty Of Eng
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