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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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2016
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156220 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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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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 |
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2023-05-20T17:49:12Z |
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2023-05-20T17:49:12Z |
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