Nonuniform 2D Mott-Gurney law

Author

Zhu, Y.B. ; Ang, L.K.

Author_Institution

Eng. Product Dev., Singapore Univ. of Technol. & Design, Singapore, Singapore

fYear

2013

Firstpage

1

Lastpage

1

Abstract

For high charge injection into a solid dielectric, the 1D current density is described by the classical Mott-Gurney (MG) law for trap-free solid and Mark-Helfrich (HF) law for trap-filled solid. Recently, due to the development of nanotechnology, the geometry current enhancement is observed in many experiment, such as electron transport in nanowire. In this paper, we develop a numerical method to solved the 2D space charge limited current problem.

Keywords

Poisson equation; cathodes; charge injection; current density; nonlinear equations; numerical analysis; space charge; 1D current density; 2D current enhancement; 2D space charge limited current problem; Mark-Helfrich law; SOR method; cathode surface; charge injection; classical 2D Mott-Gurney law; edge effect; electron transport; geometry current enhancement; nanotechnology; nanowire; nonlinear Poisson equation; numerical method; scaling law; solid dielectric; trap-filled solid; trap-free solid; Current density; Dielectrics; Educational institutions; Electron traps; Hafnium; Product development; Solids;

fLanguage

English

Publisher

ieee

Conference_Titel

Plasma Science (ICOPS), 2013 Abstracts IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

0730-9244

Type

conf

DOI

10.1109/PLASMA.2013.6634947

Filename

6634947