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...
Збережено в:
Дата: | 2016 |
---|---|
Автори: | , , |
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 |
Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | 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. |
---|