Quantum theory of transient transport in a high electric field

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A quantum theory of transient transport is developed, based on two previously derived generalized Langevin equations, one for the center-of-mass momentum and the other for the center-of-mass kinetic energy, for an interacting system of electrons, impurities, and phonons. The high-field transient transport equations obtained are found to be self-contained differential- integral equations. We show that the nonlinearity due to the high field, in the case of transient transport, not only alters the transport time but also renormalizes the electron mass. The main conclusion is that the usual low-field transient transport equation is not valid in the high-electric-field situation. © 1988 The American Physical Society.

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Physical Review B

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