- Tytuł:
- Mathematical Structure of Bosonic and Fermionic Jack States and Their Application in Fractional Quantum Hall Effect
- Autorzy:
-
Kuśmierz, B.
Wu, Y.
Wójs, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1376066.pdf
- Data publikacji:
- 2014-11
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
71.10.Pm
73.43.Cd - Opis:
- Fractional quantum Hall effect is a remarkable behaviour of correlated electrons, observed exclusively in two dimensions, at low temperatures, and in strong magnetic fields. The most prominent fractional quantum Hall state occurs at Landau level filling factor ν = 1/3 and it is described by the famous Laughlin wave function, which (apart from the trivial Gaussian factor) is an example of Jack polynomial. Fermionic Jack polynomials also describe another pair of candidate fractional quantum Hall states: Moore-Read and Read-Rezayi states, believed to form at the ν = 1/2 and 3/5 fillings of the second Landau level, respectively. Bosonic Jacks on the other hand are candidates for certain correlated states of cold atoms. We examine here a continuous family of fermionic Jack polynomials whose special case is the Laughlin state as approximate wave functions for the 1/3 fractional quantum Hall effect.
- Źródło:
-
Acta Physica Polonica A; 2014, 126, 5; 1134-1136
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł