Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs/AlGaAs at B=0

Abstract

We report the transport properties of a low disorder two-dimensional hole system (2DHS) in the GaAs/AlGaAs heterostructure, which has an unprecedentedly high peak mobility of $7\times 10^{5}c{m}^2/Vs$, with hole density of $4.8\times 10^{9}c{m}^{-2}<p<3.72\times 10^{10}c{m}^{-2}$ in the temperature range of $50mK<T<1.3K$. From their T, p, and electric field dependences, we find that the metal-insulator transition in zero magnetic field in this exceptionally clean 2DHS occurs at $r_s=35.1\pm 0.9$, which is in good agreement with the critical $r_s$ for Wigner crystallization ${r_s}^c=37\pm 5$, predicted by Tanatar and Ceperley for an ideally clean 2D system.

4 pages, 4 Postscript figures

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Cited by in corpus (113)

• Metallic behavior and related phenomena in two dimensions
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• Metal-insulator transition in two-dimensional electron systems
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Observation of Wigner crystal of electrons in a monolayer semiconductor
• Applications of quantum Monte Carlo methods in condensed systems
• Transport in strongly correlated two dimensional electron fluids
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Magnetoresistance of a two-dimensional electron gas in a parallel magnetic field
• Parallel Magnetic Field Induced Transition in Transport in the Dilute Two-Dimensional Hole System in GaAs
• Magnetically Induced Metallic Phase in Superconducting Tantalum Films
• Resistivity of dilute 2D electrons in an undoped GaAs heterostructure
• Metal-insulator transitions and the effects of electron-electron interactions in two-dimensional electron systems
• Direct observation of a magnetic field-induced Wigner crystal
• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Exchange Frequencies in the 2d Wigner crystal
• Transport and percolation in a low-density high-mobility two-dimensional hole system
• Nonmonotonic Temperature-dependent Resistance in Low Density 2D Hole Gases
• A new quantum phase between the Fermi glass and the Wigner crystal in two dimensions
• Interaction Corrections to Two-Dimensional Hole Transport in Large $r_s$ Limit
• Spin-Polarization transition in the two dimensional electron gas
• Metallicity and its low temperature behavior in dilute 2D carrier systems
• Observation of Spontaneous Ferromagnetism in a Two-Dimensional Electron System
• Electronic Liquid Crystalline Phases in a Spin-Orbit Coupled Two-Dimensional Electron Gas
• Screening Breakdown on the Route toward the Metal-Insulator Transition in Modulation Doped Si/SiGe Quantum Wells
• Response to Parallel Magnetic Field of a Dilute 2D Electron System across the Metal-Insulator Transition
• Two-dimensional metal-insulator transition and in-plane magnetoresistance in a high mobility strained Si quantum well
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Novel metal-insulator-transition at the SrTiO3/SmTiO3 interface
• Anomalous Spin Polarization of GaAs Two-Dimensional Hole Systems
• Coexistence of Weak Localization and a Metallic Phase in Si/SiGe Quantum Wells
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Evidence of a two-stage melting of Wigner solids in two dimensions
• Metal-insulator Crossover Behavior at the Surface of NiS_2
• Dissipationless transport in low density bilayer systems
• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
• Sublattice structure and topology in spontaneously crystallized electronic states
• A few electrons per ion scenario for the B=0 metal-insulator transition in two dimensions
• Two-dimensional metal-insulator-transition as a potential fluctuation driven semiclassical transport phenomenon
• Interaction Effects in Conductivity of a Two-Valley Electron System in High-Mobility Si Inversion Layers
• Analysis of the Metallic Phase of Two-Dimensional Holes in SiGe in Terms of Temperature Dependent Screening
• Anisotropic, two-dimensional, disordered Wigner solid
• Fermi-liquid behaviour of the low-density 2D hole gas in GaAs/AlGaAs heterostructure at large values of r_s
• Insulating phase of a two-dimensional electron gas in MgZnO/ZnO heterostructure below nu = 1/3
• Quantum Phase Transitions to Charge Order and Wigner Crystal Under Interplay of Lattice Commensurability and Long-Range Coulomb Interaction
• Single and Paired Point Defects in a 2D Wigner Crystal
• Valley dependent many-body effects in 2D semiconductors
• No indications of metal-insulator transition for systems of interacting electrons in two dimensions
• The relative importance of electron-electron interactions compared to disorder in the two-dimensional "metallic" state
• Local transport in a disorder-stabilized correlated insulating phase
• Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
• Record-quality GaAs two-dimensional hole systems
• Wigner crystal phases in bilayer graphene
• Quantum critical scaling for finite temperature Mott-like metal-insulator crossover in a few layered-MoS${}_2$
• Bloch Ferromagnetism of Composite Fermions
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Electronic transport, metal-insulator transition, and Wigner crystallization in transition metal dichalcogenide monolayers
• Wigner crystal of a two-dimensional electron gas with a strong spin-orbit interaction
• Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals
• Magnetoresistance of double layer hybrid system in tilted magnetic field
• Density-tuned effective metal-insulator transitions in 2D semiconductor layers: Anderson localization or Wigner crystallization
• Novel Insulator to Metal Transition and Superconductivity in Sr-doped La2CuO4
• Comment on "Theory of metal-insulator transitions in gated semiconductors" (B. L. Altshuler and D. L. Maslov, Phys. Rev. Lett. 82, 145 (1999))
• Quantum phase transitions in two-dimensional systems
• Interplay between phonon and impurity scattering in 2D hole transport
• Delocalized Coulomb phase in two dimensions
• Terahertz fingerprint of monolayer Wigner crystals
• Density-dependent two-dimensional optimal mobility in ultra-high-quality semiconductor quantum wells
• Non-linear effects and dephasing in disordered electron systems
• Topological Phonon Modes in A Two-Dimensional Wigner Crystal
• Wigner crystallization in a polarizable medium
• Spin-orbit interaction and the 'metal-insulator' transition observed in two-dimensional hole systems
• A metal-insulator transition in 2D: Established facts and open questions
• Role of a parallel magnetic field in two dimensional disordered clusters containing a few correlated electrons
• On the Ground State of Electron Gases at Negative Compressibility
• Physics of the Insulating Phase in the Dilute Two-Dimensional Electron Gas
• Two-Dimensional Wigner Crystal in Anisotropic Semiconductor
• The Parallel Magnetoconductance of Interacting Electrons in a Two Dimensional Disordered System
• Phonons in Electron Crystals with Berry Curvature
• Signatures of an intermediate 2d Coulomb phase at low temperatures
• Pseudo-spin order of Wigner crystals in multi-valley electron gases
• Metal-insulator transition in disordered 2DEG including temperature effects
• A numerical finite size scaling approach to many-body localization
• Evidence of the Coulomb gap in the density of states of MoS${}_2$
• Upper bound on the window of density occupied by microemulsion phases in two-dimensional electron systems
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Evidence of zero-field Wigner solids in ultra-thin films of cadmium arsenide
• Tunneling transverse to a magnetic field, and how it occurs in correlated 2D electron systems
• Influence of the nature of confinement on the melting of Wigner molecules in quantum dots
• Effects of interedge scattering on the Wigner crystallization in graphene nanoribbons
• Correlation functions in electron-electron and electron-hole double quantum wells: Temperature, density and barrier-width dependence
• Ultraclean two-dimensional hole systems with mobilities exceeding 10${}^7$ cm${}^2$/Vs
• Chiral Wigner crystal phases induced by Berry curvature
• Wigner Crystallization in Two Dimensions: Evolution from Long- to Short-Ranged Forces
• Enhancement of Wigner crystallization in quasi low-dimensional solids
• Thermal melting of a quantum electron solid in the presence of strong disorder: Anderson versus Wigner
• Continuous Wigner-Mott transition at $\nu =1/5$
• Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering
• Persistent currents in two dimensions: New regimes induced by the interplay between electronic correlations and disorder
• Non-monotonic magnetic field and density dependence of in-plane magnetoresistance in dilute two-dimensional holes in GaAs/AlGaAs
• Critical Filling Factor for the Formation of a Quantum Wigner Crystal Screened by a Nearby Layer
• Electronic Crystal Phases in the Presence of Non-Uniform Berry Curvature and Tunable Berry Flux: The ${\lambda }_N$-Jellium model
• From the Fermi Liquid Towards the Wigner Solid in Two Dimensions
• Crystallization of the transdimensional electron liquid
• 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)
• Melting temperature of screened Wigner crystal on helium films by molecular dynamics
• Highly anisotropic commensurability oscillations in two-dimensional holes at the GaAs/AlGaAs (311)A interface
• Effective interactions between parallel-spin electrons in two-dimensional jellium approaching the magnetic phase transition
• Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation
• Universal transport at Lifshitz metal-insulator transitions in two dimensions
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• Quantum melting a Wigner crystal into Hall liquids
• Disorder-induced strong-field strong-localization in 2D systems