W-infinity Symmetry in the Quantum Hall Effect Beyond the Edge

Abstract

The description of chiral quantum incompressible fluids by the W-infinity symmetry can be extended from the edge, where it encompasses the conformal field theory approach, to the non-conformal bulk. The two regimes are characterized by excitations with different sizes, energies and momenta within the disk geometry. In particular, the bulk quantities have a finite limit for large droplets. We obtain analytic results for the radial shape of excitations, the edge reconstruction phenomenon and the energy spectrum of density fluctuations in Laughlin states.

arXiv comment45 pages, 11 figures

References in corpus (35)

• Geometrical Description of the Fractional Quantum Hall Effect
• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
• W_{1+\infty} and W(gl_N) with central charge N
• Infinite Symmetry in the Quantum Hall Effect
• Fermions in the Lowest Landau Level: Bosonization, $W_{\infty }$ Algebra, Droplets, Chiral Boson
• Lowest-Landau-level theory of the quantum Hall effect: the Fermi-liquid-like state
• Parafermion Hall states from coset projections of abelian conformal theories
• Reconstruction of Fractional Quantum Hall Edges
• A dipole interpretation of the $\nu =1/2$ state
• Bimetric Theory of Fractional Quantum Hall States
• Conformal Symmetry and Universal Properties of Quantum Hall States
• Monte Carlo simulation method for Laughlin-like states in a disk geometry
• Magneto-roton excitation of fractional quantum Hall effect: Comparison between theory and experiment
• One-Dimensional Fermions as Two-Dimensional Droplets Via Chern-Simons Theory
• Stable Hierarchical Quantum Hall Fluids as W-(1 + infinity) Minimal Models
• Representation Theory of The $W_{1+\infty }$ Algebra
• Classification of Quantum Hall Universality Classes by $W_{1+\infty }$ symmetry
• Higher-Spin Theory of the Magnetorotons
• Large N Limit in the Quantum Hall Effect
• Guiding-center Hall viscosity and intrinsic dipole moment along edges of incompressible fractional quantum Hall fluids
• "Hall viscosity" and intrinsic metric of incompressible fractional Hall fluids
• Algebraic Aspects of the Fractional Quantum Hall Effect
• Singular Behavior At The Edge of Laughlin States
• $W_{1+\infty }$ Dynamics of Edge Excitations in the Quantum Hall Effect
• Infinite Symmetry in the Fractional Quantum Hall Effect
• $W_{\infty }$ Algebras in the Quantum Hall Effect
• Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
• Partition Functions of Non-Abelian Quantum Hall States
• The boundary density profile of a Coulomb droplet. Freezing at the edge
• Inner Nonlinear Waves and Inelastic Light Scattering of Fractional Quantum Hall States as Evidence of the Gravitational Anomaly
• $W_{\infty }$ algebra in the integer quantum Hall effects
• Bulk-Boundary Correspondence in the Quantum Hall Effect
• Self-duality and long-wavelength behavior of the Landau-level guiding-center structure function, and the shear modulus of fractional quantum Hall fluids

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• Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models
• Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems
• Adiabatic Deformations of Quantum Hall Droplets