Anomalous robustness of the 5/2 fractional quantum Hall state near a sharp phase boundary

Abstract

We report magneto-transport measurements in wide GaAs quantum wells with tunable density to probe the stability of the fractional quantum Hall effect at filling factor $\nu =$ 5/2 in the vicinity of the crossing between Landau levels (LLs) belonging to the different (symmetric and antisymmetric) electric subbands. When the Fermi energy ($E_F$) lies in the excited-state LL of the symmetric subband, the 5/2 quantum Hall state is surprisingly stable and gets even stronger near this crossing, and then suddenly disappears and turns into a metallic state once $E_F$ moves to the ground-state LL of the antisymmetric subband. The sharpness of this disappearance suggests a first-order transition.

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• Evidence for a $\nu =5/2$ Fractional Quantum Hall Nematic State in Parallel Magnetic Fields
• Fractional quantum Hall effect in a tilted magnetic field
• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• The enigmatic 12/5 fractional quantum Hall effect
• Evolution of the 7/2 fractional quantum Hall state in two-subband systems
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• A Quantized $\nu =5/2$ State in a Two-Subband Quantum Hall System
• Finite Temperature Behavior in the Second Landau Level of the Two-dimensional Electron Gas
• The Pfaffian state in an electron gas with small Landau level gaps
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Morphing of 2D Hole Systems at $\nu =3/2$ in Parallel Magnetic Fields: Compressible, Stripe, and Fractional Quantum Hall Phases
• Finite-thickness effect and spin polarization of the even-denominator fractional quantum Hall states
• Hetero-Orbital Two-Component Fractional Quantum Hall States in Bilayer Graphene
• $2{\mathbf{k}}_{\mathbf{F}}$ Density Wave Instability of Composite Fermi Liquid