Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime

Abstract

We have studied the $\nu =5/2$ fractional quantum Hall state in a density-tunable sample at extremely low electron densities. For the densities accessed in our experiment, the Landau level mixing parameter $\kappa$ spans the $2.52<\kappa <2.82$ range. In the vicinity of $5.8\times 10^{10}$~cm${}^{-2}$ or $\kappa =2.6$ an anomalously large change in the density dependence of the energy gap is observed. Possible origins of such an anomaly are discussed, including a topological phase transition in the $\nu =5/2$ fractional quantum Hall state.

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Cited by in corpus (16)

• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Energetics of Pfaffian-AntiPfaffian Domains
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Unconventional ${\mathbb{Z}}_n$ parton states at $\nu =7/3$: The role of finite width
• The Pfaffian state in an electron gas with small Landau level gaps
• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• PH-Pfaffian order in a translationally and rotationally invariant system
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Phase transitions and topological properties of the 5/2 quantum Hall states with strong Landau-level mixing
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling