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Charge and Energy Transport in a Nondegenerate Electron Gas

  • Karlheinz Seeger
Chapter
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Part of the Advanced Texts in Physics book series (ADTP)

Abstract

In the preceding chapters, we have seen that a mobile charge carrier in a semiconductor has an effective mass m which is different from the free electron mass m 0. The effective mass takes care of the fact that the carrier is subject to the crystal field. In discussing the velocity distribution of the gas of carriers, we found that the Fermi—Dirac distribution holds in general and that the Maxwell—Boltzmann distribution f(v) ∝ exp(−mv 2/2 k B T) is an approximation of the former which is valid for nondegenerate semiconductors. Here the carrier density is small compared with the effective density of states N c, in the conduction band and N v, in the valence band (3.1.12). For these distributions, no externally applied electric fields were assumed to be present. Instead, the calculations were based on the assumption of thermal equilibrium.

Keywords

Thermoelectric Power Energy Transport Hall Mobility Hall Voltage Heat Flow Density 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Karlheinz Seeger
    • 1
    • 2
  1. 1.ViennaAustria
  2. 2.Institut für MaterialphysikUniversitätViennaAustria

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