Fractional Quantum Hall State at Filling Factor $\nu =1/4$ in Ultra-High-Quality GaAs 2D Hole Systems

Abstract

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely observed in the lowest-energy Landau level, namely at filling factors $\nu <1$. Here we report evidence for an even-denominator FQHS at $\nu =1/4$ in ultra-high-quality two-dimensional hole systems confined to modulation-doped GaAs quantum wells. We observe a deep minimum in the longitudinal resistance at $\nu =1/4$, superimposed on a highly insulating background, suggesting a close competition between the $\nu =1/4$ FQHS and the magnetic-field-induced, pinned Wigner solid states. Our experimental observations are consistent with the very recent theoretical calculations which predict that substantial Landau level mixing, caused by the large hole effective mass, can induce composite fermion pairing and lead to a non-Abelian FQHS at $\nu =1/4$. Our results demonstrate that Landau level mixing can provide a very potent means for tuning the interaction between composite fermions and creating new non-Abelian FQHSs.

7+9 pages, 3+4 figures

References in corpus (21)

• Non-Abelian Anyons and Topological Quantum Computation
• Ultra-high quality two-dimensional electron systems
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Density and well width dependences of the effective mass of twodimensional holes in (100) GaAs quantum wells measured by cyclotron resonance at microwave frequencies
• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Probing the Melting of a Two-dimensional Quantum Wigner Crystal via its Screening Efficiency
• Composite fermion pairing induced by Landau level mixing
• Record-quality GaAs two-dimensional hole systems
• Correlated states of 2D electrons near the Landau level filling $\nu =1/7$
• Robust Quantum Hall Ferromagnetism near a Gate-Tuned ν = 1 Landau Level Crossing
• Geometric Resonance of Four-Flux Composite Fermions
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Quantum bubble defects in the lowest Landau level crystal
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases

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