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Number 3 - September 2019
Volume 29 - 2019
The effect of elastic and inelastic scattering on electronic transport in open systems
Karol Kulinowski, Maciej Wołoszyn, Marta Radecka, Bartłomiej J. Spisak
Abstract
The purpose of this study is to apply the distribution function formalism to the problem of electronic transport in open
systems, and to numerically solve the kinetic equation with a dissipation term. This term is modeled within the relaxation
time approximation and contains two parts, corresponding to elastic or inelastic processes. The collision operator is approximated as a sum of the semi-classical energy dissipation term and the momentum relaxation term, which randomizes
the momentum but does not change the energy. As a result, the distribution of charge carriers changes due to the dissipation
processes, which has a profound impact on the electronic transport through the simulated region discussed in terms of
the current–voltage characteristics and their modification caused by the scattering. Measurements of the current–voltage
characteristics for titanium dioxide thin layers are also presented, and compared with the results of numerical calculations.
Keywords
kinetic equation, relaxation time approximation, scattering processes