Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model

Abstract Silicon nanowires (SiNWs) are quasi-one-dimensional structures in which electrons are spatially confined in two directions and they are free to move in the orthogonal direction. The subband decomposition and the electrostatic force field are obtained by solving the Schrödinger–Poisson coupl...

Full description

Bibliographic Details
Main Authors: Orazio Muscato, Tina Castiglione, Vincenza Di Stefano, Armando Coco
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13362-018-0056-1
id doaj-8fe66742163b416f89567aa1da418cc8
record_format Article
spelling doaj-8fe66742163b416f89567aa1da418cc82020-11-25T00:29:51ZengSpringerOpenJournal of Mathematics in Industry2190-59832018-12-018111210.1186/s13362-018-0056-1Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic modelOrazio Muscato0Tina Castiglione1Vincenza Di Stefano2Armando Coco3Department of Mathematics and Computer Science, University of CataniaDepartment of Mathematics and Computer Science, University of CataniaDepartment of Mathematics and Computer Science, University of CataniaSchool of Engineering, Computing and Mathematics, Oxford Brookes UniversityAbstract Silicon nanowires (SiNWs) are quasi-one-dimensional structures in which electrons are spatially confined in two directions and they are free to move in the orthogonal direction. The subband decomposition and the electrostatic force field are obtained by solving the Schrödinger–Poisson coupled system. The electron transport along the free direction can be tackled using a hydrodynamic model, formulated by taking the moments of the multisubband Boltzmann equation. We shall introduce an extended hydrodynamic model where closure relations for the fluxes and production terms have been obtained by means of the Maximum Entropy Principle of Extended Thermodynamics, and in which the main scattering mechanisms such as those with phonons and surface roughness have been considered. By using this model, the low-field mobility of a Gate-All-Around SiNW transistor has been evaluated.http://link.springer.com/article/10.1186/s13362-018-0056-1NanowiresSemiconductorsBoltzmann equationHydrodynamics
collection DOAJ
language English
format Article
sources DOAJ
author Orazio Muscato
Tina Castiglione
Vincenza Di Stefano
Armando Coco
spellingShingle Orazio Muscato
Tina Castiglione
Vincenza Di Stefano
Armando Coco
Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
Journal of Mathematics in Industry
Nanowires
Semiconductors
Boltzmann equation
Hydrodynamics
author_facet Orazio Muscato
Tina Castiglione
Vincenza Di Stefano
Armando Coco
author_sort Orazio Muscato
title Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
title_short Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
title_full Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
title_fullStr Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
title_full_unstemmed Low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
title_sort low-field electron mobility evaluation in silicon nanowire transistors using an extended hydrodynamic model
publisher SpringerOpen
series Journal of Mathematics in Industry
issn 2190-5983
publishDate 2018-12-01
description Abstract Silicon nanowires (SiNWs) are quasi-one-dimensional structures in which electrons are spatially confined in two directions and they are free to move in the orthogonal direction. The subband decomposition and the electrostatic force field are obtained by solving the Schrödinger–Poisson coupled system. The electron transport along the free direction can be tackled using a hydrodynamic model, formulated by taking the moments of the multisubband Boltzmann equation. We shall introduce an extended hydrodynamic model where closure relations for the fluxes and production terms have been obtained by means of the Maximum Entropy Principle of Extended Thermodynamics, and in which the main scattering mechanisms such as those with phonons and surface roughness have been considered. By using this model, the low-field mobility of a Gate-All-Around SiNW transistor has been evaluated.
topic Nanowires
Semiconductors
Boltzmann equation
Hydrodynamics
url http://link.springer.com/article/10.1186/s13362-018-0056-1
work_keys_str_mv AT oraziomuscato lowfieldelectronmobilityevaluationinsiliconnanowiretransistorsusinganextendedhydrodynamicmodel
AT tinacastiglione lowfieldelectronmobilityevaluationinsiliconnanowiretransistorsusinganextendedhydrodynamicmodel
AT vincenzadistefano lowfieldelectronmobilityevaluationinsiliconnanowiretransistorsusinganextendedhydrodynamicmodel
AT armandococo lowfieldelectronmobilityevaluationinsiliconnanowiretransistorsusinganextendedhydrodynamicmodel
_version_ 1725329479016906752