The image-charge correction for curved field emitters

Biswas, Debabrata; Ramachandran, Rajasree

doi:10.1063/1.4990562

Search citation statements

Order By: Relevance

Paper Sections

Select...

The Tunneling Potential1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

2021

Publication Types

Select...

Article5

Other1

Relationship

Self Cite4

Independent2

Authors

Journals

Cited by 14 publications

(1 citation statement)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The last term in Eq. (38) represents the image-charge potential under a local spherical approximation 36 .…”

Section: The Tunneling Potentialmentioning

confidence: 99%

Approximate universality in the tunneling potential for curved field emitters -- a line charge model approach

Ramachandran,

Biswas

2021

Preprint

Self Cite

View full text Add to dashboard Cite

“…The last term in Eq. (38) represents the image-charge potential under a local spherical approximation 36 .…”

Section: The Tunneling Potentialmentioning

confidence: 99%

Approximate universality in the tunneling potential for curved field emitters -- a line charge model approach

Ramachandran,

Biswas

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Erratum: “The image-charge correction for curved field emitters” [Phys. Plasmas 24, 073107 (2017)]

Biswas

Ramachandran

2017

Physics of Plasmas

View full text Add to dashboard Cite

The tunneling potential for field emission from nanotips

2018

Self Cite

View full text Add to dashboard Cite

In the quasi-planar approximation of field emission, the potential energy due to an external electrostatic field E 0 is expressed as −eγE 0 ∆s where ∆s is the perpendicular distance from the emission site and γ is the local field enhancement factor on the surface of the emitter. We show that for curved emitter tips, the current density can be accurately computed if terms involving (∆s/R 2 ) 2 and (∆s/R 2 ) 3 are incorporated in the potential where R 2 is the second (smaller) principle radius of curvature. The result is established analytically for the hemiellipsoid and hyperboloid emitters and it is found that for sharply curved emitters, the expansion coefficients are equal and coincide with that of a sphere. The expansion seems to be applicable to generic emitters as demonstrated numerically for an emitter with a conical base and quadratic tip. The correction terms in the potential are adequate for R a 2 nm for local field strengths of 5 V/nm or higher. The result can also be used for nano-tipped emitter arrays or even a randomly placed bunch of sharp emitters.

show abstract

The image-charge correction for curved field emitters

Cited by 14 publications

References 24 publications

Approximate universality in the tunneling potential for curved field emitters -- a line charge model approach

Approximate universality in the tunneling potential for curved field emitters -- a line charge model approach

Erratum: “The image-charge correction for curved field emitters” [Phys. Plasmas 24, 073107 (2017)]

The tunneling potential for field emission from nanotips

Contact Info

Product

Resources

About