Field enhancement at metallic interfaces due to quantum confinement

Fatih Öztürk, Sanshui Xiao, Min Yan, Martijn Wubs, Antti-Pekka Jauho, N. Asger Mortensen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We point out an apparently overlooked consequence of the boundary conditions obeyed by the electric displacement vector at air-metal interfaces: the continuity of the normal component combined with the quantum mechanical penetration of the electron gas in the air implies the existence of a surface on which the dielectric function vanishes. This, in turn, leads to an enhancement of the normal component of the total electric field. We study this effect for a planar metal surface, with the inhomogeneous electron density accounted for by a Jellium model. We also illustrate the effect for equilateral triangular nanoislands via numerical solutions of the appropriate Maxwell equations, and show that the field enhancement is several orders of magnitude larger than what the conventional theory predicts. (C) 2011 Society of Photo-Optical Instrumentation Engineers (SPIE). [DOI: 10.1117/1.3574159]
Original languageEnglish
JournalJournal of Nanophotonics
Volume5
Pages (from-to)051602
ISSN1934-2608
DOIs
Publication statusPublished - 2011
Externally publishedYes

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Quantum confinement
Metals
Electron gas
augmentation
air
Maxwell equations
Air
continuity
Maxwell equation
metal surfaces
Carrier concentration
electron gas
penetration
Electric fields
Boundary conditions
boundary conditions
electric fields
metals

Cite this

Öztürk, Fatih ; Xiao, Sanshui ; Yan, Min ; Wubs, Martijn ; Jauho, Antti-Pekka ; Mortensen, N. Asger. / Field enhancement at metallic interfaces due to quantum confinement. In: Journal of Nanophotonics. 2011 ; Vol. 5. pp. 051602.
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Field enhancement at metallic interfaces due to quantum confinement. / Öztürk, Fatih; Xiao, Sanshui; Yan, Min; Wubs, Martijn; Jauho, Antti-Pekka; Mortensen, N. Asger.

In: Journal of Nanophotonics, Vol. 5, 2011, p. 051602.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Field enhancement at metallic interfaces due to quantum confinement

AU - Öztürk, Fatih

AU - Xiao, Sanshui

AU - Yan, Min

AU - Wubs, Martijn

AU - Jauho, Antti-Pekka

AU - Mortensen, N. Asger

PY - 2011

Y1 - 2011

N2 - We point out an apparently overlooked consequence of the boundary conditions obeyed by the electric displacement vector at air-metal interfaces: the continuity of the normal component combined with the quantum mechanical penetration of the electron gas in the air implies the existence of a surface on which the dielectric function vanishes. This, in turn, leads to an enhancement of the normal component of the total electric field. We study this effect for a planar metal surface, with the inhomogeneous electron density accounted for by a Jellium model. We also illustrate the effect for equilateral triangular nanoislands via numerical solutions of the appropriate Maxwell equations, and show that the field enhancement is several orders of magnitude larger than what the conventional theory predicts. (C) 2011 Society of Photo-Optical Instrumentation Engineers (SPIE). [DOI: 10.1117/1.3574159]

AB - We point out an apparently overlooked consequence of the boundary conditions obeyed by the electric displacement vector at air-metal interfaces: the continuity of the normal component combined with the quantum mechanical penetration of the electron gas in the air implies the existence of a surface on which the dielectric function vanishes. This, in turn, leads to an enhancement of the normal component of the total electric field. We study this effect for a planar metal surface, with the inhomogeneous electron density accounted for by a Jellium model. We also illustrate the effect for equilateral triangular nanoislands via numerical solutions of the appropriate Maxwell equations, and show that the field enhancement is several orders of magnitude larger than what the conventional theory predicts. (C) 2011 Society of Photo-Optical Instrumentation Engineers (SPIE). [DOI: 10.1117/1.3574159]

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