Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-12-07
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 7 figures
Scientific paper
10.1016/j.physe.2008.04.004
We present a quantitative study of most prominent incompressible quantum Hall states in the partially filled first excited Landau level (LL1) which have been recently studied experimentally by Choi et al. The pseudopotential describing the electron - electron interaction in LL1 is harmonic at short range. It produces a series of incompressible states which is different from its LL0 counterpart. The numerical data indicate that the most prominent states $\nu={5/2}$, 7/3, and 8/3 are not produced by Laughlin correlated electrons, but result from a tendency of electrons to form pairs or larger clusters which eventually become Laughlin correlated. States with smaller gaps at filling factors 14/5, 16/7, 11/5, 19/7 are Laughlin correlated electron or hole states and fit Jain's sequence of filled $\rm{CF}^4$ levels.
Quinn John J.
Simion George E.
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