Competing Crystal Phases in the Lowest Landau Level

Abstract

We show that the solid phase between the 1/5 and 2/9 fractional quantum Hall states arises from an extremely delicate interplay between type-1 and type-2 composite fermion crystals, clearly demonstrating its nontrivial, strongly correlated character. We also compute the phase diagram of various crystals occurring over a wide range of filling factors, and demonstrate that the elastic constants exhibit non-monotonic behavior as a function of the filling factor, possibly leading to distinctive experimental signatures that can help mark the phase boundaries separating different kinds of crystals.

12 pages, 8 figures, includes supplementary material

References in corpus (4)

• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Evidence for Two Different Solid Phases of Two Dimensional Electrons in High Magnetic Fields
• Landau Level Quantization on the Sphere
• Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields

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• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells
• Anisotropic magnetoresistance and piezoelectric effect in GaAs Hall samples
• Thermal crossover from a Chern insulator to a fractional Chern insulator in pentalayer graphene
• Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing
• Exotic Fractional Topological States in Two-Dimensional Organometallic Material
• Density functional theory of the fractional quantum Hall effect
• Microwave spectroscopic studies of the bilayer electron solid states at low Landau filling in a wide quantum well
• Topological Phonon Modes in A Two-Dimensional Wigner Crystal
• Observation of An Anisotropic Wigner Crystal
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Analytical Theory of Strongly Correlated Wigner Crystals in the Lowest Landau Level
• Pinning modes of high magnetic field Wigner solids with controlled alloy disorder
• Dynamics of the Wigner Crystal of Composite Particles
• Quantum bubble defects in the lowest Landau level crystal
• Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Competing Many-Body Phases at Small Fillings in Ultrahigh-Quality GaAs 2D Hole Systems: Role of Landau Level Mixing
• Crystalline Solutions of Kohn-Sham Equations in the Fractional Quantum Hall Regime
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Coexistence of two hole phases in high-quality $p$-GaAs/AlGaAs in the vicinity of Landau level filling factors $\nu$=1 and $\nu$=(1/3)
• Wigner solids of wide quantum wells near Landau filling $\nu =1$
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Quantum melting a Wigner crystal into Hall liquids
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations
• Disorder-induced strong-field strong-localization in 2D systems