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The theory of electronic conduction in polar semi-conductors

The theory of electronic conduction in polar semi-conductors <jats:p>The Boltzmann equation is set up for the conduction electrons in a crystal in which the scattering is due to the polarization waves of the lattice, and it is pointed out that at low temperatures it is impossible to define a unique time of relaxation for the scattering process. The Boltzmann equation is solved by means of a variational method, and exact expressions for the electrical conductivity and the thermo-electric power are obtained in the form of ratios of infinite determinants. By approximating to the exact solutions, relatively simple expressions are derived which are used to discuss the dependence of the conduction phenomena upon the temperature and upon the degree of degeneracy of the electron gas.</jats:p> http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences CrossRef

The theory of electronic conduction in polar semi-conductors

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences , Volume 219 (1136): 53-74 – Aug 11, 1953

The theory of electronic conduction in polar semi-conductors


Abstract

<jats:p>The Boltzmann equation is set up for the conduction electrons in a crystal in which the scattering is due to the polarization waves of the lattice, and it is pointed out that at low temperatures it is impossible to define a unique time of relaxation for the scattering process. The Boltzmann equation is solved by means of a variational method, and exact expressions for the electrical conductivity and the thermo-electric power are obtained in the form of ratios of infinite determinants. By approximating to the exact solutions, relatively simple expressions are derived which are used to discuss the dependence of the conduction phenomena upon the temperature and upon the degree of degeneracy of the electron gas.</jats:p>

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Publisher
CrossRef
ISSN
0080-4630
DOI
10.1098/rspa.1953.0130
Publisher site
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Abstract

<jats:p>The Boltzmann equation is set up for the conduction electrons in a crystal in which the scattering is due to the polarization waves of the lattice, and it is pointed out that at low temperatures it is impossible to define a unique time of relaxation for the scattering process. The Boltzmann equation is solved by means of a variational method, and exact expressions for the electrical conductivity and the thermo-electric power are obtained in the form of ratios of infinite determinants. By approximating to the exact solutions, relatively simple expressions are derived which are used to discuss the dependence of the conduction phenomena upon the temperature and upon the degree of degeneracy of the electron gas.</jats:p>

Journal

Proceedings of the Royal Society of London. Series A. Mathematical and Physical SciencesCrossRef

Published: Aug 11, 1953

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