Sensing the binding and unbinding of anyons at impurities
arXiv:2507.08928 · doi:10.1103/cfm5-wgz1
Abstract
Anyons are quasiparticles with fractional charge and statistics that arise in strongly correlated two-dimensional systems such as the fractional quantum Hall (FQH) effect and fractional Chern insulators (FCI). Interactions between anyons can lead to emergent phenomena, such as anyon superconductivity as well as anyon condensation which allows for a hierarchical construction of quantum Hall states. In this work, we study how quasihole anyons in a Laughlin fractional quantum Hall state can be bound together by a sufficiently strong attractive impurity potential. The competition between the repulsive interaction between the quasiholes themselves and the attractive interaction between the quasiholes and the impurity leads to states with different numbers of quasiholes bound to the impurity. Tuning the chemical potential via gating while remaining within a quantum Hall plateau changes the number of quasiholes bound to the impurity. We propose methods for studying these states experimentally, for example using scanning tunneling microscopy and exciton spectroscopy. While the impurities in traditional platforms such as GaAs heterostructures are typically too weak to observe the binding of anyons, the recently discovered zero-field fractional Chern insulators in twisted MoTe offer a platform which may realize the strong-impurity regime.
10 pages, 6 figures
References in corpus (59)
- Fractional quantum Hall states at zero magnetic field
- Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
- Observation of Fractionally Quantized Anomalous Hall Effect
- Fractional quantum Hall effect in the absence of Landau levels
- Fractional Chern Insulator
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- Sharp and Smooth Boundaries of Quantum Hall Liquids
- Fractional Quantum Hall States and Jack Polynomials
- Randomness at the Edge: Theory of Quantum Hall transport at filling
- Impurity scattering and transport of fractional Quantum Hall edge state
- Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
- Robust spin-polarized midgap states at step edges of topological crystalline insulators
- Reconstruction of Fractional Quantum Hall Edges
- Coherent Particle Transfer in an On-Demand Single-Electron Source
- Edge reconstruction in the fractional quantum Hall regime
- A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
- Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
- Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
- Composite Edge States in the Fractional Quantum Hall Regime
- Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
- Superconductivity and quantized anomalous Hall in rhombohedral graphene
- Spontaneous breakdown of topological protection in two dimensions
- Textured Edges in Quantum Hall Systems
- Decomposition of fractional quantum Hall states: New symmetries and approximations
- Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity
- Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
- Edge-mode velocities and thermal coherence of quantum Hall interferometers
- Dropping an impurity into a Chern insulator: a polaron view on topological matter
- Edge reconstructions in fractional quantum Hall systems
- Topological chiral superconductivity beyond pairing in a Fermi liquid
- Mobility and quantum mobility of modern GaAs/AlGaAs heterostructures
- Fractional Edge Reconstruction in Integer Quantum Hall Phases
- Imaging anyons with scanning tunneling microscopy
- Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
- Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
- Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
- Energy spectra of fractional quantum Hall systems in the presence of a valence hole
- Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
- Doping a fractional quantum anomalous Hall insulator
- High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
- Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
- Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
- Trapping Abelian anyons in fractional quantum Hall droplets
- STM in the fractional quantum Hall effect: Spectroscopy of composite-fermion bound states
- Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
- Spin Mode-Switching at the Edge of a Quantum Hall System
- Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
- High spatial resolution charge sensing of quantum Hall states
- Interaction effects in a 1D flat band at a topological crystalline step edge
- Edge spin excitations and reconstructions of integer quantum Hall liquids
- Single-particle spectral function of fractional quantum anomalous Hall states
- Driven quantum dot coupled to a fractional quantum Hall edge
- Interaction effects and charge quantization in single-particle quantum dot emitters
- Molecular anyons in fractional quantum Hall effect
- Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe
- Probing chiral symmetry with a topological domain wall sensor
- Local Probes for Quantum Hall Ferroelectrics and Nematics
- Anyon-trions in atomically thin semiconductor heterostructures