Analysis of a diffusive effective mass model for nanowires
Abstract
We propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron transport in an ultra-scaled confined structure, taking in account the interactions of charged particles with phonons. The transport direction is assumed to be large compared to the wire section and is described by a drift-diffusion equation including effective quantities computed from a Bloch problem in the crystal lattice. The electrostatic potential solves a Poisson equation where the particle density couples on each energy band a two dimensional confinement density with the monodimensional transport density given by the Boltzmann statistics. On the one hand, we study the derivation of this Nanowire Drift-Diffusion Poisson model from a kinetic level description. On the other hand, we present an existence result for this model in a bounded domain.
Cite
@article{arxiv.1105.3656,
title = {Analysis of a diffusive effective mass model for nanowires},
author = {Jourdana Clément and Nicolas Vauchelet},
journal= {arXiv preprint arXiv:1105.3656},
year = {2011}
}