Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method

Chieh Y. Chang, Ming-Chieh Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Child-Langmuir law gives the maximum electron current, known as the space-charge-limited current. In a previous work of Lau et al., 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 Schrödinger-Poisson equation based on finite element method.

Original languageEnglish
Title of host publication8th IEEE International Vacuum Electronics Conference, IVEC 2007
Pages363-364
Number of pages2
DOIs
StatePublished - 2007 Dec 1
Event8th IEEE International Vacuum Electronics Conference, IVEC 2007 - Kitakyushu, Japan
Duration: 2007 May 152007 May 17

Publication series

Name8th IEEE International Vacuum Electronics Conference, IVEC 2007

Other

Other8th IEEE International Vacuum Electronics Conference, IVEC 2007
CountryJapan
CityKitakyushu
Period07/05/1507/05/17

Fingerprint

Poisson equation
Electric space charge
Finite element method
Electrons

Keywords

  • Child-langmuir law
  • Finite element method
  • Nano-diode
  • Schrödinger-poisson equation
  • Space-charge-limited

Cite this

Chang, C. Y., & Lin, M-C. (2007). Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method. In 8th IEEE International Vacuum Electronics Conference, IVEC 2007 (pp. 363-364). [4283366] (8th IEEE International Vacuum Electronics Conference, IVEC 2007). https://doi.org/10.1109/IVELEC.2007.4283366
Chang, Chieh Y. ; Lin, Ming-Chieh. / Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method. 8th IEEE International Vacuum Electronics Conference, IVEC 2007. 2007. pp. 363-364 (8th IEEE International Vacuum Electronics Conference, IVEC 2007).
@inproceedings{0b555e3b45c941e5a4714e479ac2d19e,
title = "Space-charge-limited current in quantum regime by solving the Schr{\"o}dinger-poisson equation based on finite element method",
abstract = "The Child-Langmuir law gives the maximum electron current, known as the space-charge-limited current. In a previous work of Lau et al., 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 Schr{\"o}dinger-Poisson equation based on finite element method.",
keywords = "Child-langmuir law, Finite element method, Nano-diode, Schr{\"o}dinger-poisson equation, Space-charge-limited",
author = "Chang, {Chieh Y.} and Ming-Chieh Lin",
year = "2007",
month = "12",
day = "1",
doi = "10.1109/IVELEC.2007.4283366",
language = "English",
isbn = "1424406331",
series = "8th IEEE International Vacuum Electronics Conference, IVEC 2007",
pages = "363--364",
booktitle = "8th IEEE International Vacuum Electronics Conference, IVEC 2007",

}

Chang, CY & Lin, M-C 2007, Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method. in 8th IEEE International Vacuum Electronics Conference, IVEC 2007., 4283366, 8th IEEE International Vacuum Electronics Conference, IVEC 2007, pp. 363-364, 8th IEEE International Vacuum Electronics Conference, IVEC 2007, Kitakyushu, Japan, 07/05/15. https://doi.org/10.1109/IVELEC.2007.4283366

Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method. / Chang, Chieh Y.; Lin, Ming-Chieh.

8th IEEE International Vacuum Electronics Conference, IVEC 2007. 2007. p. 363-364 4283366 (8th IEEE International Vacuum Electronics Conference, IVEC 2007).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method

AU - Chang, Chieh Y.

AU - Lin, Ming-Chieh

PY - 2007/12/1

Y1 - 2007/12/1

N2 - The Child-Langmuir law gives the maximum electron current, known as the space-charge-limited current. In a previous work of Lau et al., 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 Schrödinger-Poisson equation based on finite element method.

AB - The Child-Langmuir law gives the maximum electron current, known as the space-charge-limited current. In a previous work of Lau et al., 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 Schrödinger-Poisson equation based on finite element method.

KW - Child-langmuir law

KW - Finite element method

KW - Nano-diode

KW - Schrödinger-poisson equation

KW - Space-charge-limited

UR - http://www.scopus.com/inward/record.url?scp=47649112352&partnerID=8YFLogxK

U2 - 10.1109/IVELEC.2007.4283366

DO - 10.1109/IVELEC.2007.4283366

M3 - Conference contribution

AN - SCOPUS:47649112352

SN - 1424406331

SN - 9781424406333

T3 - 8th IEEE International Vacuum Electronics Conference, IVEC 2007

SP - 363

EP - 364

BT - 8th IEEE International Vacuum Electronics Conference, IVEC 2007

ER -

Chang CY, Lin M-C. Space-charge-limited current in quantum regime by solving the Schrödinger-poisson equation based on finite element method. In 8th IEEE International Vacuum Electronics Conference, IVEC 2007. 2007. p. 363-364. 4283366. (8th IEEE International Vacuum Electronics Conference, IVEC 2007). https://doi.org/10.1109/IVELEC.2007.4283366