Refermionized theory of the edge modes of a fractional quantum Hall cloud
arXiv:2305.00291 · doi:10.1103/2jzb-k48j
Abstract
Making use of refermionization techniques, we map the nonlinear chiral Luttinger liquid model of the edge modes of a spatially confined fractional quantum Hall cloud developed in our recent work [Phys. Rev. A 107, 033320 (2023)] onto a one-dimensional system of massive and interacting chiral fermions, whose mass and interactions are set by the filling factor of the quantum Hall fluid and the shape of the external confining potential at the position of the edge. As an example of the predictive power of the refermionized theory, we report a detailed study of the dynamic structure factor and of the spectral function of a fractional quantum Hall cloud. Among other features, our refermionized theory provides a physical understanding of the effective decay of the edge excitations and of the universal power-law exponents at the thresholds of the dynamic structure factor. The quantitative accuracy of the refermionized theory is validated against a full two-dimensional calculation based on a combination of exact diagonalization and Monte Carlo sampling.
arXiv comment13+6 pages, 10+4 figures
References in corpus (52)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Photonics
- Quantum fluids of light
- Light-induced gauge fields for ultracold atoms
- Topological orders and Edge excitations in FQH states
- Topological Bands for Ultracold Atoms
- Rapidly Rotating Atomic Gases
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Fractional statistics in anyon collisions
- Viscosity of Quantum Hall Fluids
- Observation of half-integer thermal Hall conductance
- Fractional Quantum Hall States and Jack Polynomials
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Do attractive bosons condense?
- Universal theory of nonlinear Luttinger liquids
- Synthetic Landau levels for photons
- Direct imaging of a digital-micromirror device for configurable microscopic optical potentials
- Observation of Laughlin states made of light
- Choreographed entangle dances: topological states of quantum matter
- Dynamic response of one-dimensional interacting fermions
- Edge state inner products and real-space entanglement spectrum of trial quantum Hall states
- Realization of a fractional quantum Hall state with ultracold atoms
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Fractional quantum Hall effect at : Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
- Edge reconstruction in the fractional quantum Hall regime
- Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
- Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
- Field Theoretical Description of Quantum Hall Edge Reconstruction
- Geometric squeezing into the lowest Landau level
- Generalized Quantum Hall Projection Hamiltonians
- Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
- Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge
- Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
- Surface modes of ultracold atomic clouds with very large number of vortices
- Testing the topological nature of the fractional quantum Hall edge
- Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
- Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
- Hard-Wall Confinement of a Fractional Quantum Hall Liquid
- Construction of the edge states in fractional quantum Hall systems by Jack polynomial
- Effective Edge State Dynamics in the Fractional Quantum Hall Effect
- Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
- The Fine Structure of the Phonon in One Dimension from Quantum Hydrodynamics
- Electron operator at the edge of the 1/3 fractional quantum Hall liquid
- Ring-shaped fractional quantum Hall liquids with hard-wall potentials
- Gate tunable edge magnetoplasmon resonators
- Non-linear edge dynamics of an Integer Quantum Hall fluid