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
id nasplib_isofts_kiev_ua-123456789-129504
record_format dspace
spelling Shklovskii, B.I.
2018-01-19T20:22:37Z
2018-01-19T20:22:37Z
2017
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.
0132-6414
PACS: 74.81.Fa, 05.60.Gg, 74.81.Bd
https://nasplib.isofts.kiev.ua/handle/123456789/129504
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.
I am grateful to T. Baturina, A.M. Goldman, A. Kamenev, D.E. Khmelnitskii and A.I. Larkin for useful discussions.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Электронные свойства проводящих систем
Variable range hopping in thin film with large dielectric constant
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Variable range hopping in thin film with large dielectric constant
spellingShingle Variable range hopping in thin film with large dielectric constant
Shklovskii, B.I.
Электронные свойства проводящих систем
title_short Variable range hopping in thin film with large dielectric constant
title_full Variable range hopping in thin film with large dielectric constant
title_fullStr Variable range hopping in thin film with large dielectric constant
title_full_unstemmed Variable range hopping in thin film with large dielectric constant
title_sort variable range hopping in thin film with large dielectric constant
author Shklovskii, B.I.
author_facet Shklovskii, B.I.
topic Электронные свойства проводящих систем
topic_facet Электронные свойства проводящих систем
publishDate 2017
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description 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
url https://nasplib.isofts.kiev.ua/handle/123456789/129504
citation_txt 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.
work_keys_str_mv AT shklovskiibi variablerangehoppinginthinfilmwithlargedielectricconstant
first_indexed 2025-12-07T21:03:33Z
last_indexed 2025-12-07T21:03:33Z
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