Variable range hopping in thin film with large dielectric constant

In a film with large dielectric constant κ the electric field of an electron spreads inside the film before exiting the film at large distances of order of κ d ( d is the film width). This leads to the logarithmic Coulomb repulsion between electrons and modifies the shape of the Coulomb gap in the d...

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Published in:Физика низких температур
Date:2017
Main Author: Shklovskii, B.I.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/129504
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Variable range hopping in thin film with large dielectric constant / B.I. Shklovskii // Физика низких температур. — 2017. — Т. 43, № 6. — С. 879-883. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In a film with large dielectric constant κ the electric field of an electron spreads inside the film before exiting the film at large distances of order of κ d ( d is the film width). This leads to the logarithmic Coulomb repulsion between electrons and modifies the shape of the Coulomb gap in the density of localized states in a doped film. As a result the variable range hopping conductivity in such a film has a peculiar temperature dependence, where the domain of the ln σ( T) ∝ (T₀/T) p dependence, with the index p ≃ 0.7, is sandwiched between the two domains with p = 1/2.
ISSN:0132-6414