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A Langevin equation approach to non-stationary high-field electron transport

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  • Pottier, N.

Abstract

The problem of non-stationary high-field electron transport in semiconductors is handled in the Heisenberg picture, and Langevin equations for the electron operators are derived microscopically for the first time in this case. The properties of the Langevin random force acting on the electron velocity are discussed and a time and electric field dependent k-space diffusion tensor is defined. Its relation with the collision term of the master equation for the electron density matrix is given, which constitutes a generalization of the fluctuation-dissipation theorem to this non-stationary and non-linear situation.

Suggested Citation

  • Pottier, N., 1983. "A Langevin equation approach to non-stationary high-field electron transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 293-308.
    • Handle: RePEc:eee:phsmap:v:121:y:1983:i:1:p:293-308
    DOI: 10.1016/0378-4371(83)90257-1
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    References listed on IDEAS

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    1. Pottier, N. & Calecki, D., 1982. "Gauge treatment of the intra-collisional-field-effect in electron transport theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 471-488.
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    1. Pottier, N., 1983. "A Markoffian master equation for high-field electron transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 243-250.

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