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High-field transport in semiconductors. I. Absence of the intra-collisional-field effect

Physical Review B, ISSN: 0163-1829, Vol: 43, Issue: 6, Page: 4885-4896
1991
  • 30
    Citations
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Metrics Details

  • Citations
    30
    • Citation Indexes
      30
  • Captures
    2

Article Description

We show that the Levinson (Zh. Eksp. Teor. Fiz. 57, 660 (1969) [Sov. Phys.JETP 30, 362 (1970)]) quantum transport equation reduces to the semiclassical Boltzmann equation in the limit of a strong homogeneous electrostatic field. To arrive at this conclusion we use a saddle-point approximation which has not been used in this field before. This approximation is exact in the high-field limit. We show that even for a relatively moderate field strength of 3×105 V/m in GaAs (even before the onset of the Gunn effect, when 90% of the electrons are still in the central valley) the saddle-point approximation can be used for a majority of the scattering events. The results in this paper are supported by numerical calculations based on realistic scattering mechanisms in GaAs. © 1991 The American Physical Society.

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