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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Опубліковано в: :Физика низких температур
Дата:2017
Автор: Shklovskii, B.I.
Формат: Стаття
Мова:Англійська
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/129504
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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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author Shklovskii, B.I.
author_facet Shklovskii, B.I.
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.
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container_title Физика низких температур
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.
first_indexed 2025-12-07T21:03:33Z
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last_indexed 2025-12-07T21:03:33Z
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publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
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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
spellingShingle Variable range hopping in thin film with large dielectric constant
Shklovskii, B.I.
Электронные свойства проводящих систем
title 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_short Variable range hopping in thin film with large dielectric constant
title_sort variable range hopping in thin film with large dielectric constant
topic Электронные свойства проводящих систем
topic_facet Электронные свойства проводящих систем
url https://nasplib.isofts.kiev.ua/handle/123456789/129504
work_keys_str_mv AT shklovskiibi variablerangehoppinginthinfilmwithlargedielectricconstant