Non-Markovian quantum dynamical equations for modeling electron transport in ultrafast microdevices
- 29 December 1986
- journal article
- Published by AIP Publishing in Applied Physics Letters
- Vol. 49 (26) , 1802-1804
- https://doi.org/10.1063/1.97196
Abstract
In ultrasmall devices where the relevant time scale is comparable to the dynamical time scale, the usual Markovian transport theory based on time coarse graining becomes untenable. We present a new non-Markovian quantum transport formalism that is not only valid in the dynamical regime, but also free from the energy runaway problem plaguing the Markovian theory. Apart from making practical calculations numerically stable, the theory provides the foundation for delineating the range of validity of the classical Boltzmann and Markovian quantum transport.Keywords
This publication has 7 references indexed in Scilit:
- Treatment of broadening in Monte Carlo calculations of quantum transportApplied Physics Letters, 1985
- Direct Observation of Ballistic Transport in GaAsPhysical Review Letters, 1985
- Quantum theory of electron transport in the Wigner formalismJournal of Applied Physics, 1985
- A quasi-classical formulation of the Wigner function approach to quantum ballistic transportPhysics Letters A, 1983
- Monte Carlo simulation of impact ionization in GaAs including quantum effectsApplied Physics Letters, 1983
- High field collision rates in polar semiconductorsSolid-State Electronics, 1978
- On the kinetics of the approach to equilibriumPhysica, 1961