Microscopic verification of topological electron-vortex binding in the lowest-Landau-level crystal state

Abstract

When two-dimensional electrons are subjected to a very strong magnetic field, they are believed to form a triangular Wigner crystal. We demonstrate that, in the entire crystal phase, this crystal is very well represented by a composite-fermion-crystal wave function, revealing that it is not a simple Hartree-Fock crystal of electrons but an inherently quantum mechanical crystal characterized by a non-perturbative binding of quantized vortices to electrons, which establishes a long range quantum coherence in it. It is suggested that this has qualitative consequences for experiment.

4 pages, 2 figures

References in corpus (7)

• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Quantum dots in high magnetic fields: Rotating-Wigner-molecule versus composite-fermion approach
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Composite fermion theory of correlated electrons in semiconductor quantum dots in high magnetic fields
• Unified description of floppy and rigid rotating Wigner molecules formed in quantum dots
• Crystalline character of high-magnetic-field cusp states in quantum dots
• Two-dimensional electron system in high magnetic fields: Wigner crystal vs. composite-fermion liquid

Cited by in corpus (37)

• Symmetry breaking and quantum correlations in finite systems: Studies of quantum dots and ultracold Bose gases and related nuclear and chemical methods
• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Sharp Tunneling Resonance from the Vibrations of an Electronic Wigner Crystal
• NMR profiling of quantum electron solids in high magnetic fields
• Role of exciton screening in the 7/3 fractional quantum Hall effect
• Competing Crystal Phases in the Lowest Landau Level
• Crystallization in the Fractional Quantum Hall Regime Induced by Landau-level Mixing
• Observation of pinning mode in Wigner solid of 1/3 fractional quantum Hall excitations
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene II: General Mechanism and a Minimal Model
• Observation of reentrant quantum Hall states in the lowest Landau level
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Fractional quantum Hall physics with ultracold Rydberg gases in artificial gauge fields
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Edge states in graphene quantum dots: Fractional quantum Hall effect analogies and differences at zero magnetic field
• Unified microscopic approach to the interplay of pinned-Wigner-solid and liquid behavior of lowest-Landau-level states in the neighborhood of nu=1/3
• Magnetic Field Induced Insulating Phases at Large $r_s$
• Microwave spectroscopic observation of distinct electron solid phases in wide quantum wells
• Semiconductor quantum dots in high magnetic fields: The composite-fermion view
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• Pinning modes and interlayer correlation in high magnetic field bilayer Wigner solids
• Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
• A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
• A Highly Correlated Topological Bubble Phase of Composite Fermions
• 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
• Dependence of the vortex structure in quantum dots on the range of the inter-electron interaction
• Universality of Many-Body States in Rotating Bose and Fermi Systems
• Quantum bubble defects in the lowest Landau level crystal
• Optical excitations in compressible and incompressible two-dimensional electron liquids
• Dynamics of the Wigner Crystal of Composite Particles
• Exotic Bilayer Crystals in a Strong Magnetic Field
• Evidence for Topological Protection Derived from Six-Flux Composite Fermions
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Phase transition from a composite fermion liquid to a Wigner solid in the lowest Landau level of ZnO
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations