Nedjalkov, M., Ellinghaus, P., Weinbub, J., Sadi, T., Asenov, A. , Dimov, I. and Selberherr, S. (2018) Stochastic analysis of surface roughness models in quantum wires. Computer Physics Communications, 228, pp. 30-37. (doi: 10.1016/j.cpc.2018.03.010)
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Abstract
We present a signed particle computational approach for the Wigner transport model and use it to analyze the electron state dynamics in quantum wires focusing on the effect of surface roughness. Usually surface roughness is considered as a scattering model, accounted for by the Fermi Golden Rule, which relies on approximations like statistical averaging and in the case of quantum wires incorporates quantum corrections based on the mode space approach. We provide a novel computational approach to enable physical analysis of these assumptions in terms of phase space and particles. Utilized is the signed particles model of Wigner evolution, which, besides providing a full quantum description of the electron dynamics, enables intuitive insights into the processes of tunneling, which govern the physical evolution. It is shown that the basic assumptions of the quantum-corrected scattering model correspond to the quantum behavior of the electron system. Of particular importance is the distribution of the density: Due to the quantum confinement, electrons are kept away from the walls, which is in contrast to the classical scattering model. Further quantum effects are retardation of the electron dynamics and quantum reflection. Far from equilibrium the assumption of homogeneous conditions along the wire breaks even in the case of ideal wire walls.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Asenov, Professor Asen and Sadi, Dr Toufik |
| Authors: | Nedjalkov, M., Ellinghaus, P., Weinbub, J., Sadi, T., Asenov, A., Dimov, I., and Selberherr, S. |
| College/School: | College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering |
| Journal Name: | Computer Physics Communications |
| Publisher: | Elsevier |
| ISSN: | 0010-4655 |
| ISSN (Online): | 1879-2944 |
| Published Online: | 21 March 2018 |
| Copyright Holders: | Copyright © 2018 Elsevier B.V. |
| First Published: | First published in Computer Physics Communications 228: 30-37 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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