Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$

Abstract

When interactions overcome disorder, integer quantum Hall plateaus support topological phases with different bulk insulators. In the center of the $\nu =1$ plateau the bulk is an Anderson-type insulator, while in the flanks of the plateau the bulk is the integer quantum Hall Wigner solid. We find that the activation energy along the $\nu =1$ plateau exhibits a very dramatic non-monotonic dependence on the magnetic field, a dependence that is strongly correlated with the stability regions of the two phases. Furthermore, the activation energy has an unexpected minimum at the boundary between the Anderson insulator and the Wigner solid. Our findings constrain the theory of the integer quantum Hall Wigner solid, determine its thermodynamic properties, and reveal novel behavior at the boundary between the Anderson insulator and the Wigner solid.

References in corpus (47)

• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Exact results for interacting electrons in high Landau levels
• Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
• Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Evidence of Skyrmion excitations about $\nu =1$ in n-Modulation Doped Single Quantum Wells by Inter-band Optical Transmission
• Observation of Wigner crystal of electrons in a monolayer semiconductor
• Skyrme Crystal In A Two-Dimensional Electron Gas
• Electrically-Controlled Nuclear Spin Polarization and Relaxation by Quantum-Hall states
• Ultra-high quality two-dimensional electron systems
• Collective Excitations, NMR, and Phase Transitions in Skyrme Crystals
• Giant Low Temperature Heat Capacity of GaAs Quantum Wells near Landau Level Filling $\nu$=1
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Sharp Tunneling Resonance from the Vibrations of an Electronic Wigner Crystal
• Evidence for Skyrmion crystallization from NMR relaxation experiments
• Skyrmion solids in monolayer graphene
• NMR profiling of quantum electron solids in high magnetic fields
• Integrated Electronic Transport and Thermometry at milliKelvin Temperatures and in Strong Magnetic Fields
• Critical Behavior of Nuclear-Spin Diffusion in GaAs/AlGaAs Heterostructures near Landau Level Filling ν=1
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Fractional Quantum Hall Effect and Wigner Crystal of Two-Flux Composite Fermions
• Disorder and interactions in quantum Hall ferromagnets near $\nu =1$
• Observation of reentrant quantum Hall states in the lowest Landau level
• Shape Deformation driven Structural Transitions in Quantum Hall Skyrmions
• Probing the Melting of a Two-dimensional Quantum Wigner Crystal via its Screening Efficiency
• Skyrmions in disordered heterostructures}
• Pinning mode resonance of a Skyrme crystal near Landau level filling factor $\nu$=1
• Skyrmions in the quantum Hall effect at finite Zeeman coupling
• Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing
• Complete spin phase diagram of the fractional quantum Hall liquid
• The Quantum Hall Effect in the Absence of Disorder
• Two- and three-electron bubbles in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As quantum wells
• Crossover between localized states and pinned Wigner crystal in high-mobility n-GaAs/AlGaAs heterostructures near filling factor $\nu =1$
• Particle-Hole Symmetry and the Reentrant Integer Quantum Hall Wigner Solid
• Manifestation of many-body interactions in the integer quantum Hall effect regime
• Disorder-induced stabilization of the quantum Hall ferromagnet
• Magnetotransport patterns of collective localization near $\nu =1$ in a high-mobility two-dimensional electron gas
• Capacitive Response of Wigner Crystals at the Quantum Hall Plateau
• Microscopic details of stripes and bubbles in the quantum Hall regime
• Stability of multielectron bubbles in high Landau levels
• Wigner solid pinning modes tuned by fractional quantum Hall states of a nearby layer

Cited by in corpus (4)

• Integer Quantum Hall Effect: Disorder, temperature, floating, and plateau width
• Density Dependence of the Phases of the $\nu =1$ Integer Quantum Hall Plateau in Low Disorder Electron Gases
• 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