When are the $q/3$ fractional quantum Hall states stable?

Abstract

Magneto-transport measurements in a wide GaAs quantum well in which we can tune the Fermi energy ($E_F$) to lie in different Landau levels of the two occupied electric subbands reveal a remarkable pattern for the appearance and disappearance of fractional quantum Hall states at $\nu$ = 10/3, 11/3, 13/3, 14/3, 16/3, and 17/3. The data provide direct evidence that the $q/3$ states are stable and strong even at such high fillings as long as $E_F$ lies in a ground-state (N=0) Landau level of either of the two electric subbands, regardless of whether that level belongs to the symmetric or the anti-symmetric subband. Evidently, the node in the out-of-plane direction of the anti-symmetric subband does not destabilize the $q/3$ fractional states. On the other hand, when $E_F$ lies in an excited ($N>0$) Landau level of either subband, the wavefunction node(s) in the in-plane direction weaken or completely destabilize the $q/3$ fractional quantum Hall states. Our data also show that the $q/3$ states remain stable very near the crossing of two Landau levels belonging to the two subbands, especially if the levels have parallel spins.

References in corpus (5)

• Multicomponent fractional quantum Hall effect in graphene
• Valley splitting of AlAs two-dimensional electrons in a perpendicular magnetic field
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Landau Level Anticrossing Manifestations in the Phase Diagram Topology of a Two Subband System
• Dependence of persistent gaps at Landau level crossings on relative spin

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• Experimental Measurements of Effective Mass in Near Surface InAs Quantum Wells
• Observation of reentrant quantum Hall states in the lowest Landau level
• Evolution of the 7/2 fractional quantum Hall state in two-subband systems
• Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Spin and charge distribution symmetry dependence of stripe phases in two-dimensional electron systems confined to wide quantum wells
• Multicomponent fractional quantum Hall states with subband and spin degrees of freedom
• Signatures of an annular Fermi sea
• Unusual Landau Level Pinning and Correlated $\nu =1$ Quantum Hall Effect in Hole Systems Confined to Wide GaAs Quantum Wells
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases
• Search for Composite Fermions at Filling Factor 5/2: Role of Landau Level and Subband Index
• Electronic band structure in $n$-type GaAs/AlGaAs wide quantum wells in tilted magnetic field