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Kinetic theory of quantum transport at the nanoscale

Ralph Gebauer·Roberto Car
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Abstract

We present a quantum-kinetic scheme for the calculation of non-equilibrium transport properties in nanoscale systems. The approach is based on a Liouville-master equation for a reduced density operator and represents a generalization of the well-known Boltzmann kinetic equation. The system, subject to an external electromotive force, is described using periodic boundary conditions. We demonstrate the feasibility of the approach by applying it to a double-barrier resonant tunneling structure.

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Ralph Gebauer, Roberto Car. 2004-10-05. Kinetic theory of quantum transport at the nanoscale. https://doi.org/10.1103/physrevb.70.125324

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