Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor

A theory for the Shubnikov—de Haas oscillations in the diagonal conductivity σxx of a 2D conductor is developed for the case when electron states within the broaden Landau levels are localized except the narrow stripe in the center. The standard Shubnikov—de Haas oscillations take place only in the...

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Опубліковано в: :Физика низких температур
Дата:2005
Автор: Gvozdikov, V.M.
Формат: Стаття
Мова:Англійська
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/121677
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Shubnikov—de Haas oscillations, peaks and different
 temperature regimes of the diagonal conductivity
 in the integer quantum Hall conductor / V.M. Gvozdikov // Физика низких температур. — 2005. — Т. 31, № 7. — С. 826-831. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Gvozdikov, V.M.
author_facet Gvozdikov, V.M.
citation_txt Shubnikov—de Haas oscillations, peaks and different
 temperature regimes of the diagonal conductivity
 in the integer quantum Hall conductor / V.M. Gvozdikov // Физика низких температур. — 2005. — Т. 31, № 7. — С. 826-831. — Бібліогр.: 19 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description A theory for the Shubnikov—de Haas oscillations in the diagonal conductivity σxx of a 2D conductor is developed for the case when electron states within the broaden Landau levels are localized except the narrow stripe in the center. The standard Shubnikov—de Haas oscillations take place only in the low-field region which at higher magnetic fields crosses over into peaks. In the limit Ωτ >> 1 peaks in the σxx became sharp and between them σxx → 0 (Ω is the cyclotron frequency, τ is the electron scattering time). The conductivity peaks display different temperature behavior with the decrease of temperature, T: a thermal activation regime, σxx exp(-Δ/T), which holds at higher temperatures, crosses over into the variable-range-hopping regime at lower temperatures with σxx 1/T exp(-√(Т₀/Т) (the prefactor 1/T is absent in the conductance).
first_indexed 2025-12-07T20:01:48Z
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last_indexed 2025-12-07T20:01:48Z
publishDate 2005
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Gvozdikov, V.M.
2017-06-15T09:16:10Z
2017-06-15T09:16:10Z
2005
Shubnikov—de Haas oscillations, peaks and different
 temperature regimes of the diagonal conductivity
 in the integer quantum Hall conductor / V.M. Gvozdikov // Физика низких температур. — 2005. — Т. 31, № 7. — С. 826-831. — Бібліогр.: 19 назв. — англ.
0132-6414
PACS: 73.43.–f, 73.40.Gk, 75.47.–m
https://nasplib.isofts.kiev.ua/handle/123456789/121677
A theory for the Shubnikov—de Haas oscillations in the diagonal conductivity σxx of a 2D conductor is developed for the case when electron states within the broaden Landau levels are localized except the narrow stripe in the center. The standard Shubnikov—de Haas oscillations take place only in the low-field region which at higher magnetic fields crosses over into peaks. In the limit Ωτ >> 1 peaks in the σxx became sharp and between them σxx → 0 (Ω is the cyclotron frequency, τ is the electron scattering time). The conductivity peaks display different temperature behavior with the decrease of temperature, T: a thermal activation regime, σxx exp(-Δ/T), which holds at higher temperatures, crosses over into the variable-range-hopping regime at lower temperatures with σxx 1/T exp(-√(Т₀/Т) (the prefactor 1/T is absent in the conductance).
The work was supported by INTAS, project
 INTAS-01-0791. The author is deeply gratitude to P.
 Fulde, J. Wosnitza, M. Kartsovnik, W. Biberacher,
 I.Ya. Polishchuk, I.V. Krive, A.M. Kosevich, A.A.
 Slutskin and participants of the theoretical seminar at
 FTINT in Kharkov for discussions and to S. Flach for
 the hospitality at MPIPKS in Dresden.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Письма pедактоpу
Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
Article
published earlier
spellingShingle Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
Gvozdikov, V.M.
Письма pедактоpу
title Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
title_full Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
title_fullStr Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
title_full_unstemmed Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
title_short Shubnikov—de Haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum Hall conductor
title_sort shubnikov—de haas oscillations, peaks and different temperature regimes of the diagonal conductivity in the integer quantum hall conductor
topic Письма pедактоpу
topic_facet Письма pедактоpу
url https://nasplib.isofts.kiev.ua/handle/123456789/121677
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