Fractional Quantum Hall Effect at $\nu =1/2$ in Hole Systems Confined to GaAs Quantum Wells

Abstract

We observe fractional quantum Hall effect (FQHE) at the even-denominator Landau level filling factor $\nu =1/2$ in two-dimensional hole systems confined to GaAs quantum wells of width 30 to 50 nm and having bilayer-like charge distributions. The $\nu =1/2$ FQHE is stable when the charge distribution is symmetric and only in a range of intermediate densities, qualitatively similar to what is seen in two-dimensional electron systems confined to approximately twice wider GaAs quantum wells. Despite the complexity of the hole Landau level structure, originating from the coexistence and mixing of the heavy- and light-hole states, we find the hole $\nu =1/2$ FQHE to be consistent with a two-component, Halperin-Laughlin (${\Psi }_{331}$) state.

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• Phase Diagrams for the $\nu$ = 1/2 Fractional Quantum Hall Effect in Electron Systems Confined to Symmetric, Wide GaAs Quantum Wells
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• Fractional quantum Hall state at ν=1/4 in a wide quantum well

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• Geometric Resonance of Composite Fermions near Bilayer Quantum Hall States
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• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases
• Non-Abelian $\nu =1/2$ quantum Hall state in ${\Gamma }_8$ Valence Band Hole Liquid
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• Photovoltage Detection of Edge Magnetoplasmon Oscillations and Giant Magnetoplasmon Resonances in A Two-Dimensional Hole System
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells