Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold

We report on the electronic and optical properties of ultrathin granular films. We demonstrate that the static dielectric constant increases with thickness in the dielectric regime and diverges at the critical thickness, as predicted by classical percolation theory. However, for thicker samples, the...

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Main Authors: H Bakkali, E Blanco, S E Lofland, M Domínguez
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aba021
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author H Bakkali
E Blanco
S E Lofland
M Domínguez
author_facet H Bakkali
E Blanco
S E Lofland
M Domínguez
author_sort H Bakkali
collection DOAJ
description We report on the electronic and optical properties of ultrathin granular films. We demonstrate that the static dielectric constant increases with thickness in the dielectric regime and diverges at the critical thickness, as predicted by classical percolation theory. However, for thicker samples, the dc conductivity does not obey scaling laws due to the presence of tunneling conduction. In this region the dielectric constant is positive, and the electronic transport is not metallic but can be described by Jonscher’s universal power law, even though there is a Drude-like response indicating the presence of free charge carriers. Only for thicker films when the dielectric constant becomes negative is there metallic conduction.
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spelling doaj.art-9814c1c3dad04572b015aac5f3a5b5672023-08-08T15:25:23ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122808301810.1088/1367-2630/aba021Divergence of the dielectric constant in ultrathin granular metal films near the percolation thresholdH Bakkali0https://orcid.org/0000-0001-7351-3948E Blanco1https://orcid.org/0000-0002-2234-1477S E Lofland2https://orcid.org/0000-0002-1024-5103M Domínguez3https://orcid.org/0000-0002-7889-7220Department of Physics and Astronomy, Rowan University , 201 Mullica Hill Road, Glassboro, NJ 08028, United States of America; Departamento de Física de la Materia Condensada & IMEYMAT: Institute of Research on Electron Microscopy and Materials, University of Cadiz , E11510 Puerto Real, Cádiz, SpainDepartamento de Física de la Materia Condensada & IMEYMAT: Institute of Research on Electron Microscopy and Materials, University of Cadiz , E11510 Puerto Real, Cádiz, SpainDepartment of Physics and Astronomy, Rowan University , 201 Mullica Hill Road, Glassboro, NJ 08028, United States of AmericaDepartamento de Física de la Materia Condensada & IMEYMAT: Institute of Research on Electron Microscopy and Materials, University of Cadiz , E11510 Puerto Real, Cádiz, SpainWe report on the electronic and optical properties of ultrathin granular films. We demonstrate that the static dielectric constant increases with thickness in the dielectric regime and diverges at the critical thickness, as predicted by classical percolation theory. However, for thicker samples, the dc conductivity does not obey scaling laws due to the presence of tunneling conduction. In this region the dielectric constant is positive, and the electronic transport is not metallic but can be described by Jonscher’s universal power law, even though there is a Drude-like response indicating the presence of free charge carriers. Only for thicker films when the dielectric constant becomes negative is there metallic conduction.https://doi.org/10.1088/1367-2630/aba021percolationtunneling conductionoptical conductivity
spellingShingle H Bakkali
E Blanco
S E Lofland
M Domínguez
Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
New Journal of Physics
percolation
tunneling conduction
optical conductivity
title Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
title_full Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
title_fullStr Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
title_full_unstemmed Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
title_short Divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
title_sort divergence of the dielectric constant in ultrathin granular metal films near the percolation threshold
topic percolation
tunneling conduction
optical conductivity
url https://doi.org/10.1088/1367-2630/aba021
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AT eblanco divergenceofthedielectricconstantinultrathingranularmetalfilmsnearthepercolationthreshold
AT selofland divergenceofthedielectricconstantinultrathingranularmetalfilmsnearthepercolationthreshold
AT mdominguez divergenceofthedielectricconstantinultrathingranularmetalfilmsnearthepercolationthreshold