Fractional Quantum Hall Effect and Wigner Crystal of Two-Flux Composite Fermions

Abstract

In two-dimensional electron systems confined to GaAs quantum wells, as a function of either tilting the sample in magnetic field or increasing density, we observe multiple transitions of the fractional quantum Hall states (FQHSs) near filling factors $\nu =3/4$ and 5/4. The data reveal that these are spin-polarization transitions of interacting two-flux composite Fermions, which form their own FQHSs at these fillings. The fact that the reentrant integer quantum Hall effect near $\nu =4/5$ always develops following the transition to full spin polarization of the $\nu =4/5$ FQHS strongly links the reentrant phase to a pinned \emph{ferromagnetic} Wigner crystal of two-flux composite Fermions.

References in corpus (8)

• Fractional Quantum Hall Effect of Composite Fermions
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• Effective Mass and g-Factor of Four Flux Quanta Composite Fermions
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• Spin-Polarization of Composite Fermions and Particle-Hole Symmetry Breaking
• Observation of reentrant quantum Hall states in the lowest Landau level
• Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells

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• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Fractionally charged skyrmions in fractional quantum Hall effect
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Analytical Theory of Strongly Correlated Wigner Crystals in the Lowest Landau Level
• Dynamics of the Wigner Crystal of Composite Particles
• Sliding of Electron Crystal of Finite Size on the Surface of Superfluid He-4 Confined in a Microchannel
• On dynamical ordering in a 2D electron crystal confined in a narrow channel geometry
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Density Dependence of the Phases of the $\nu =1$ Integer Quantum Hall Plateau in Low Disorder Electron Gases
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Wigner solids of wide quantum wells near Landau filling $\nu =1$
• Interlayer correlated fractional quantum Hall state in the ν = 4/5 bilayer system
• Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
• Inequivalence of the low-density insulating state and quantum Hall insulating states in a strongly correlated two-dimensional electron system
• Cascade of fractional quantum Hall states in 2D system