Laughlin's quasielectron as a non-local composite fermion
arXiv:2306.13972 · doi:10.1103/PhysRevB.108.L201106
Abstract
We discuss the link between the quasielectron wavefunctions proposed by Laughlin and by Jain and show both analytically and numerically that Laughlin's quasielectron is a non-local composite fermion state. Composite-fermion states are typically discussed in terms of the composite-fermion Landau levels (also known as Lambda levels). In standard composite-fermion quasielectron wavefunctions the excited Lambda levels have sub-extensive occupation numbers. However, once the Laughlin's quasielectron is reformulated as a composite fermion, an overall logarithmic occupation of the first Lambda level is made apparent, which includes orbitals that are localized at the boundary of the droplet. Even though the wavefunction proposed by Laughlin features a localised quasielectron with well-defined fractional charge, it exhibits some non-trivial boundary properties which motivate our interpretation of Laughlin's quasielectron as a non-local object. This has an important physical consequence: Laughlin's quasielectron fractionalizes an incorrect spin, deeply related to the anyonic braiding statistics. We conclude that Laughlin's quasielectron is not a good candidate for a quasielectron wavefunction.
arXiv comment5 pages, 5 figures
References in corpus (22)
- Quantum Hall Physics - hierarchies and CFT techniques
- Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
- Clustering Properties and Model Wavefunctions for Non-Abelian Fractional Quantum Hall Quasielectrons
- Composite fermion wave functions as conformal field theory correlators
- Fractional statistics in the fractional quantum Hall effect
- Numerical study of charge and statistics of Laughlin quasi-particles
- Charge and Statistics of Quantum Hall Quasi-Particles. A numerical study of mean values and fluctuations
- Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
- Quantum Hall quasielectrons - Abelian and non-Abelian
- Berry phases for composite fermions: effective magnetic field and fractional statistics
- Fusion channels of non-Abelian anyons from angular-momentum and density-profile measurements
- Nature of quasiparticle excitations in the fractional quantum Hall effect
- Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
- Geometric Defects in Quantum Hall States
- Many-body braiding phases in a rotating strongly correlated photon gas
- On the anyon description of the Laughlin hole states
- Real-space probe for lattice quasiholes
- Fractional Spin for Quantum Hall Effect Quasiparticles
- Matrix product state representation of quasielectron wave functions
- Intrinsic quasiparticle's spin and fractional quantum Hall effect on Riemann surfaces
- Spin-statistics relation and the Abelian braiding phase for anyons in fractional quantum Hall effect
- Mechanism for particle fractionalization and universal edge physics in quantum Hall fluids