Space-Charge-Limited Current in Quantum Regime by Solving the SchrÃ¶dinger-Poisson Equation Based on Finite Element Method

Author

Chang, Chieh-Yu ; Lin, Ming-Chieh

Author_Institution

Fu Jen Catholic Univ., Taipei

fYear

2007

fDate

15-17 May 2007

Firstpage

1

Lastpage

2

Abstract

The Child-Langmuir law gives the maximum electron current, known as the space-charge- limited current. In a previous work of Lau et ah, they extended the classical work of Child and Langmuir to the quantum regime by using the Wentzel-Kramers-Brillouin-Jefferys method. Here, we quantitatively investigate the space-charge-limited current in quantum regime by solving the Schrodinger-Poisson equation based on finite element method.

Keywords

Poisson equation; finite element analysis; nanoelectronics; semiconductor diodes; space-charge limited devices; Child-Langmuir law; Schrodinger-poisson equation; Wentzel-Kramers- Brillouin-Jefferys method; finite element method; maximum electron current; quantum regime; space-charge-limited current; Boundary conditions; Diodes; Electrons; Elementary particle vacuum; Finite element methods; Laboratories; Physics; Poisson equations; Schrodinger equation; Wave functions; Child-Langmuir law; Finite element method; SchrÃ¶dinger-Poisson equation; nano-diode; space-charge-limited;

fLanguage

English

Publisher

ieee

Conference_Titel

Vacuum Electronics Conference, 2007. IVEC '07. IEEE International

Conference_Location

Kitakyushu

Print_ISBN

1-4244-0633-1

Type

conf

DOI

10.1109/IVELEC.2007.4283366

Filename

4283366