Abstract
In this work we propose a hybrid Monte Carlo method for solving the Levinson equation. This equation describes the electron-phonon interaction on a quantum-kinetic level in a wire. The evolution problem becomes inhomogeneous due to the spatial dependence of the initial condition. The properties of the presented algorithm, such as computational complexity and accuracy, are investigated on the Grid by mixing quasi-random numbers and pseudo-random numbers. The numerical results are obtain for a physical model with GaAs material parameters in the case of zero electrical field.
Supported by the Ministery of Education and Science of Bulgaria under Grant No. I1405/04 and by the EC FP6 under Grant No: INCO-CT-2005-016639 of the project BIS-21++.
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Gurov, T., Atanassov, E., Ivanovska, S. (2007). A Hybrid Monte Carlo Method for Simulation of Quantum Transport. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_18
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DOI: https://doi.org/10.1007/978-3-540-70942-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70940-4
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