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rdf:type
lifeskim:mentions
pubmed:issue
20
pubmed:dateCreated
2003-12-19
pubmed:abstractText
This paper presents a consistent quantum mechanical model of Child-Langmuir (CL) law, including electron exchange-correlation interaction, electrode's surface curvature, and finite emitter area. The classical value of the CL law is increased by a larger factor due to the electron tunneling through the space-charge potential, and the electron exchange-correlation interaction becomes important when the applied gap voltage Vg and the gap spacing D are, respectively, on the order of Hartree energy level, and nanometer scale. It is found that the classical scaling of Vg(3/2) and D(-2) is no longer valid in the quantum regime, and a new scaling of Vg(1/2) and D(-4) is established. The smooth transition from the classical regime to the quantum regime is also demonstrated.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Nov
pubmed:issn
0031-9007
pubmed:author
pubmed:issnType
Print
pubmed:day
14
pubmed:volume
91
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
208303
pubmed:year
2003
pubmed:articleTitle
New scaling of child-langmuir law in the quantum regime.
pubmed:affiliation
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Republic of Singapore. elkang@ntu.edu.sg
pubmed:publicationType
Journal Article