Fractional quantum Hall effect and electron correlations in partially filled first excited Landau level

Abstract

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 ${\mathrm{CF}}^4$ levels.

4 pages, 7 figures

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Cited by in corpus (8)

• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Particle-hole Asymmetry of Fractional Quantum Hall States in the Second Landau Level of a Two-dimensional Hole System
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
• Excitations of the $\nu =5/2$ Fractional Quantum Hall State and the Generalized Composite Fermion Picture