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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| Datum: | 2016 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2016
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | 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 |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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