Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
arXiv:cond-mat/0001394 · doi:10.1103/PhysRevLett.85.5396
Abstract
We report on results of systematic numerical studies of two-dimensional electron gas systems subject to a perpendicular magnetic field, with a high Landau level partially filled by electrons. Our results are strongly suggestive of a breakdown of translational symmetry and the presence of crystalline order in the ground state. This is in sharp contrast with the physics of the lowest and first excited Landau levels, and in good qualitative agreement with earlier Hartree-Fock studies. Experimental implications of our results are discussed.
replaced by the published version
References in corpus (4)
Cited by in corpus (71)
- Insulating and Fractional Quantum Hall States in the N=1 Landau Level
- Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
- Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
- Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
- Interplay of Fractional Chern Insulator and Charge-Density-Wave Phases in Twisted Bilayer Graphene
- Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
- Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
- Fibonacci anyons and charge density order in the 12/5 and 13/5 plateaus
- Wigner Crystals in the lowest Landau level at low filling factors
- Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
- Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
- Microwave resonances of the bubble phases in 1/4 and 3/4 filled higher Landau levels
- Particle-Hole Symmetry Breaking and the 5/2 Fractional Quantum Hall Effect
- Theory of Quantum Hall Nematics
- Evidence of a first order phase transition between Wigner crystal and Bubble Phases of 2D electrons in higher Landau levels
- Ground State Phase Diagram of 2D Electrons in High Magnetic Field
- Non-Abelian states with negative flux: a new series of quantum Hall states
- Tunable interactions and phase transitions in Dirac materials in a magnetic field
- Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
- Theory of the Quantum Hall Smectic Phase, I: Low Energy Properties of the Quantum Hall Smectic Fixed Point
- Competition Between Fractional Quantum Hall Liquid, Bubble and Wigner Crystal Phases in the Third Landau Level
- Observation of narrow-band noise accompanying the breakdown of insulating states in high Landau levels
- Recent Developments in Fractional Chern Insulators
- Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
- Vortex Lattice Structure of Fulde-Ferrell-Larkin-Ovchinnikov Superconductors
- Wigner crystalization about =3
- Microwave resonance of the reentrant insulating quantum Hall phases in the 1st excited Landau Level
- De-Pinning Transition of Bubble Phases in a High Landau Level
- Anisotropy Driven Transition from Moore-Read State to Quantum Hall Stripes
- DMRG Study of the Ground State at Higher Landau Levels - Stripes, Bubbles and the Wigner Crystal
- Disorder-driven transition and intermediate phase for fractional quantum Hall effect
- Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
- Microscopic Model for Fractional Quantum Hall Nematics
- Anisotropic states of two-dimensional electrons in high magnetic fields
- Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
- Theory of the Quantum Hall Smectic Phase II: Microscopic Theory
- Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
- Broken-Symmetry States of Dirac Fermions in Graphene with A Partially Filled High Landau Level
- Electron Bubbles and the Structure of the Orbital Wavefunction
- Fractional quantum Hall states of a Bose gas with spin-orbit coupling
- Multi-faceted machine learning of competing orders in disordered interacting systems
- Exact diagonalization study of domain structure in integer filling factor quantum Hall ferromagnets
- Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
- Electron-solid and electron-liquid phases in graphene
- Static and dynamic properties of crystalline phases of two-dimensional electrons in a strong magnetic field
- Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
- Fermions out of Dipolar Bosons in the lowest Landau level
- Magnetotransport patterns of collective localization near in a high-mobility two-dimensional electron gas
- Geometric resonances in the magnetoresistance of hexagonal lateral superlattices
- Charge-density-wave states in double-layer graphene structures in a high magnetic field
- Stability of the k=3 Read-Rezayi state in chiral two-dimensional systems with tunable interactions
- Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at
- Stability of multielectron bubbles in high Landau levels
- Role of disorder in half-filled high Landau levels
- Unpaired and spin-singlet paired states of a two-dimensional electron gas in a perpendicular magnetic field
- Dynamical Conductivity of Disordered Quantum Hall Stripes
- Competing Laughlin state and Wigner crystal in bilayer graphene
- Charge density waves and their transitions in anisotropic quantum Hall systems
- Quantum theory of bilayer quantum Hall smectics
- Variational Monte-Carlo calculation of the nematic state of the two-dimensional electron gas in a magnetic field
- Numerical studies of the fractional quantum Hall effect in systems with tunable interactions
- Bubble phase at for a spinless hollow-core interaction
- Quantum Hall ferroelectric helix in bilayer graphene
- Wigner Crystallization of a two dimensional electron gas in a magnetic field: single electrons versus electron pairs at the lattice sites
- Coexistence of two hole phases in high-quality -GaAs/AlGaAs in the vicinity of Landau level filling factors =1 and =(1/3)
- Insulating Phases Induced by Crossing of Partially Filled Landau Levels in a Si Quantum Well
- Density Wave Instability of Composite Fermi Liquid
- Robust translational invariance in topological bands against lattice potentials and disorders
- Melting phase diagram of bubble phases in high Landau levels
- Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
- Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures