The effect of elastic and inelastic scattering on electronic transport in open systems

Kulinowski, Karol ; Wołoszyn, Maciej ; Radecka, Marta ; Spisak, Bartłomiej J.

International Journal of Applied Mathematics and Computer Science, Tome 29 (2019) no. 3, pp. 427-437.

Résumé

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.

Détail

Keywords: kinetic equation, relaxation time approximation, scattering process
Mots-clés : równanie kinetyczne, czas relaksacji, proces rozpraszania

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