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Stochastic Models for Insurance Set Volume 1

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The Wigner Monte Carlo method for nanoelectronic devices

A particle description of quantum transport and decoherence

Damien Querlioz and Philippe Dollfus, University of Paris-Sud, Orsay, France

ISBN: 9781848211506

Publication Date: April 2010   Hardback   272 pp.

110.00 USD

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The emergence of nanoelectronics has led us to renew the concepts of transport theory used in semiconductor device physics and the engineering community. It has become crucial to question the traditional semi-classical view of charge carrier transport and to adequately take into account the wave-like nature of electrons by considering not only their coherent evolution but also the out-of-equilibrium states and the scattering effects.
This book gives an overview of the quantum transport approaches for nanodevices and focuses on the Wigner formalism. It details the implementation of a particle-based Monte Carlo solution of the Wigner transport equation and how the technique is applied to typical devices exhibiting quantum phenomena, such as the resonant tunnelling diode, the ultra-short silicon MOSFET and the carbon nanotube transistor. In the final part, decoherence theory is used to explain the emergence of the semi-classical transport in nanodevices.


1. Theoretical framework of quantum transport in semiconductors and devices.
2. Particle-based Wigner Monte Carlo approach to Wigner-Boltzmann device simulation.
3. Application of the Wigner Monte Carlo Method to RTD, MOSFET and CNTFET.
4. Decoherence and transition from quantum to semi-classical transport.

About the Authors

Damien Querlioz, University of Paris-Sud, Orsay, France
Philippe Dollfus, CNRS, University of Paris-Sud, Orsay, France


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