2010
DOI: 10.1007/s10825-010-0319-6
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Implementation of the Wigner-Boltzmann transport equation within particle Monte Carlo simulation

Abstract: In this paper, we detail the main numerical issues of the Monte Carlo method developed to solve the WignerBoltzmann transport equation and simulate the quantum transport in semiconductor nanodevices. In particular, we focus on the boundary conditions regarding the injection of particles and the limits of integration for the calculation of the Wigner potential which are of crucial importance for the physical correctness of simulation results. Through typical examples we show that this model is able to treat cor… Show more

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Cited by 13 publications
(6 citation statements)
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“…In these cases, it might be more efficient to consider decomposition of the partially coherent light into orthogonal mutually incoherent modes and to include the diffraction effects on each mode separately. Nonlinear optical elements similarly pose a challenge for an efficient WDF transport, even though examples of Monte Carlo quantum transport using the Wigner distribution are finding increasing application for the semiconductor devices [46]. Borrowing some of these techniques may yield a practical method capable of including all the relevant phenomena for the x-ray transport line design.…”
Section: Discussionmentioning
confidence: 99%
“…In these cases, it might be more efficient to consider decomposition of the partially coherent light into orthogonal mutually incoherent modes and to include the diffraction effects on each mode separately. Nonlinear optical elements similarly pose a challenge for an efficient WDF transport, even though examples of Monte Carlo quantum transport using the Wigner distribution are finding increasing application for the semiconductor devices [46]. Borrowing some of these techniques may yield a practical method capable of including all the relevant phenomena for the x-ray transport line design.…”
Section: Discussionmentioning
confidence: 99%
“…Page 123 of 127 (E) directed along the tube axis, can be described as electron propagation along the CNT interrupted instantaneously by emission or absorption of phonon. Nonequilibrium field dependent electron distribution f(k) in conduction bands, obtained from steady-state Boltzmann transport equation solved in k space, is used to calculate drift velocity [16,17,9]. Electron distribution in the presence of uniform electric field oriented along the tube axis is calculated numerically by solving multi-band Boltzmann transport equation given by…”
Section: Electron Transport Equationmentioning
confidence: 99%
“…which is solved numerically [6] with commonly used simplification, known as low density approximation 𝑓𝑓(𝑘𝑘, 𝑚𝑚) ≪ 1. All permitted channels [15] are found numerically and accounted in total scattering rate of accelerated electrons, often distributed in different bands.…”
Section: Electron-phonon Interaction and Boltzmann Transport Equationmentioning
confidence: 99%