Title
Carrier transport in nanodevices: revisiting the Boltzmann and Wigner distribution functions Carrier transport in nanodevices: revisiting the Boltzmann and Wigner distribution functions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Berlin ,
Subject
Physics
Source (journal)
Physica status solidi: B: basic research. - Berlin
Volume/pages
246(2009) :7 , p. 1656-1661
ISSN
0370-1972
ISI
000268659100033
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In principle, transport of charged carriers in nanometer sized solid-state devices can be fully characterized once the non-equilibrium distribution function describing the carrier ensemble is known. In this light, we have revisited the Boltzmann and the Wigner distribution functions and the framework in which they emerge from the classical respectively quantum mechanical Liouville equation. We have assessed the method of the characteristic curves as a potential workhorse to solve the time dependent Boltzmann equation for carriers propagating through spatially non-uniform systems, such as nanodevices. In order to validate the proposed solution strategy, we numerically solve the Boltzmann equation for a one-dimensional conductor mimicking the basic features of a biased low-dimensional transistor operating in the on-state. Finally, we propose a computational scheme capable of extending the benefits of the above mentioned solution strategy when it comes to solve the Wigner-Liouville equation.
E-info
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