Localized emission from flat diamond cathodes

Griff L. Bilbro, Robert Nemanich

Research output: Contribution to journalArticle

Abstract

We analyze steady-state field emission from an n-type semiconductor under the assumption that its surface presents no barrier for electron emission from the conduction band into the vacuum. We construct a classical Lagrangian field theory for the coupled electric and quasi-fermi potentials and use it to show that uniform emission is unstable against laterally nonuniform perturbations. We use a two-parameter model of normal emission current to show that the Lagrangian of the linearized system is minimal when all electrons are emitted from a single site. In addition to this intensely localized emission, we show the normal electric field at the surface is moderately enhanced at the solitary emission site even though the surface itself is planar. We use the result to explain the isolated emission sites observed in nanocrystalline n-type diamond films.

Original languageEnglish (US)
Pages (from-to)1418-1423
Number of pages6
JournalDiamond and Related Materials
Volume15
Issue number9
DOIs
StatePublished - Sep 2006
Externally publishedYes

Fingerprint

Diamond
Diamonds
Cathodes
cathodes
diamonds
Continuum mechanics
Electron emission
Diamond films
Conduction bands
Field emission
Electric fields
n-type semiconductors
Vacuum
Semiconductor materials
diamond films
Electrons
electron emission
field emission
conduction bands
perturbation

Keywords

  • Cold cathode
  • Drift diffusion
  • Emission sites
  • Lagrangian
  • Negative electron affinity
  • Nonuniform electron emission

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Materials Chemistry
  • Surfaces, Coatings and Films
  • Surfaces and Interfaces

Cite this

Localized emission from flat diamond cathodes. / Bilbro, Griff L.; Nemanich, Robert.

In: Diamond and Related Materials, Vol. 15, No. 9, 09.2006, p. 1418-1423.

Research output: Contribution to journalArticle

Bilbro, Griff L. ; Nemanich, Robert. / Localized emission from flat diamond cathodes. In: Diamond and Related Materials. 2006 ; Vol. 15, No. 9. pp. 1418-1423.
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