Time-resolved electron transport with quantum trajectories

It is shown that Bohmian mechanics applied to describe electron transport in open systems (in terms of waves and particles) leads to a quantum-trajectory Monte Carlo algorithm where randomness appears because of the uncertainties in the number of electrons, their energies and the initial positions o...

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Bibliographic Details
Published in:Journal of computational electronics 2013-09, Vol.12 (3), p.405-419
Main Authors: Albareda, G., Marian, D., Benali, A., Yaro, S., Zanghì, N., Oriols, X.
Format: Article
Language:English
Subjects:
Algorithms
Electric currents
Electrical Engineering
Electron transport
Engineering
Formalism
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mechanical Engineering
Nanoelectronics
Nanotechnology devices
Open systems
Optical and Electronic Materials
Probability distribution
Quantum physics
Theoretical
Velocity
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Summary:It is shown that Bohmian mechanics applied to describe electron transport in open systems (in terms of waves and particles) leads to a quantum-trajectory Monte Carlo algorithm where randomness appears because of the uncertainties in the number of electrons, their energies and the initial positions of the trajectories. The usefulness of this formalism to provide predictions beyond DC, namely AC regime, transient and noise, in nanoelectronic devices, is proven and discussed in detail. In particular, we emphasize the ability of this formalism to provide a straightforward answer to the measurement of the total current and its advantages to deal with the many-body problem in electron transport scenarios. All the results presented along the manuscript have been obtained using the electron device simulator BITLLES.
ISSN:1569-8025
1572-8137
DOI:10.1007/s10825-013-0484-5