Method of computation of energies in the fractional quantum Hall effect regime

Method of computation of energies in the fractional quantum Hall effect regime

In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to Nе = 6 electrons at the filling factor ν = 1/3 by using the method of complex polar coordinates. In this work, we display interesting computation...

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Бібліографічні деталі
Видавець:Інститут фізики конденсованих систем НАН України
Дата:2016
Автори: Ammar, M.A., Bentalha, Z., Bekhechi, S.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2016
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/156220
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Цитувати:Method of computation of energies in the fractional quantum Hall effect regime/ M.A. Ammar, Z. Bentalha, S. Bekhechi // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 33702: 1–9. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1562202019-06-19T01:25:23Z Method of computation of energies in the fractional quantum Hall effect regime Ammar, M.A. Bentalha, Z. Bekhechi, S. In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to Nе = 6 electrons at the filling factor ν = 1/3 by using the method of complex polar coordinates. In this work, we display interesting computational details of the previous calculation and extend the calculation to Ne = 7 electrons at ν = 1/3. Moreover, similar exact results are derived at the filling ν = 1/5 for systems with up to Ne = 6 electrons. The results that we obtained by analytical calculation are in good agreement with their analogues ones derived by the method of Monte Carlo in a precedent work. У попереднiй роботi ми отримали точнi результати для енергiй основного стану у режимi дробового квантового ефекта Холла (FQHE) для систем з Ne = 6 електронiв включно при коефiцiєнтi заповнення ν = 1/3, використавши метод комплексних полярних координат. В цiй роботi ми представляємо цiкавi обчислювальнi деталi попереднiх розрахункiв i розширюємо нашi обчислення до Ne = 7 електронiв при ν = 1/3. Крiм того, отримано подiбнi точнi результати при заповненнi ν = 1/5 для систем з Ne = 6 електронiв включно. Отриманi результати за допомогою аналiтичних обчислювань добре узгоджуються з їхнiми аналогами, отриманими методом Монте Карло в данiй роботi. 2016 Article Method of computation of energies in the fractional quantum Hall effect regime/ M.A. Ammar, Z. Bentalha, S. Bekhechi // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 33702: 1–9. — Бібліогр.: 28 назв. — англ. 1607-324X PACS: 73.43.-f, 73.43.Cd, 71.10.Ca, 02.70.Wz DOI:10.5488/CMP.19.33702 arXiv:1609.04713 http://dspace.nbuv.gov.ua/handle/123456789/156220 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In a previous work, we reported exact results of energies of the ground state in the fractional quantum Hall effect (FQHE) regime for systems with up to Nе = 6 electrons at the filling factor ν = 1/3 by using the method of complex polar coordinates. In this work, we display interesting computational details of the previous calculation and extend the calculation to Ne = 7 electrons at ν = 1/3. Moreover, similar exact results are derived at the filling ν = 1/5 for systems with up to Ne = 6 electrons. The results that we obtained by analytical calculation are in good agreement with their analogues ones derived by the method of Monte Carlo in a precedent work.
format Article
author Ammar, M.A.
Bentalha, Z.
Bekhechi, S.
spellingShingle Ammar, M.A.
Bentalha, Z.
Bekhechi, S.
Method of computation of energies in the fractional quantum Hall effect regime
Condensed Matter Physics
author_facet Ammar, M.A.
Bentalha, Z.
Bekhechi, S.
author_sort Ammar, M.A.
title Method of computation of energies in the fractional quantum Hall effect regime
title_short Method of computation of energies in the fractional quantum Hall effect regime
title_full Method of computation of energies in the fractional quantum Hall effect regime
title_fullStr Method of computation of energies in the fractional quantum Hall effect regime
title_full_unstemmed Method of computation of energies in the fractional quantum Hall effect regime
title_sort method of computation of energies in the fractional quantum hall effect regime
publisher Інститут фізики конденсованих систем НАН України
publishDate 2016
url http://dspace.nbuv.gov.ua/handle/123456789/156220
citation_txt Method of computation of energies in the fractional quantum Hall effect regime/ M.A. Ammar, Z. Bentalha, S. Bekhechi // Condensed Matter Physics. — 2016. — Т. 19, № 3. — С. 33702: 1–9. — Бібліогр.: 28 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT ammarma methodofcomputationofenergiesinthefractionalquantumhalleffectregime
AT bentalhaz methodofcomputationofenergiesinthefractionalquantumhalleffectregime
AT bekhechis methodofcomputationofenergiesinthefractionalquantumhalleffectregime
first_indexed 2023-05-20T17:49:12Z
last_indexed 2023-05-20T17:49:12Z
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