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...

Повний опис

Збережено в:
Бібліографічні деталі
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
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 Ukraine
Опис
Резюме: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.