Fractionally charged impurity states of a fractional quantum Hall system

Abstract

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In contrast to the noninteracting case, where only a single bound state below the lowest Landau level forms, electron-electron interactions strongly renormalize the impurity potential, effectively giving it a finite range, which can support many quasi-bound states (long-lived resonances). Averaging the spectral weights of the quasi-bound states and extrapolating to the thermodynamic limit, for filling factor $\nu =1/3$ we find evidence consistent with localized fractionally charged $e/3$ quasiparticles. For $\nu =2/5$, the results are slightly more ambiguous, due to finite size effects and possible bunching of Laughlin-quasiparticles.

7 pages and 4 figures

References in corpus (4)

• Trapping Abelian anyons in fractional quantum Hall droplets
• Electron bound by a potential well in the presence of a constant uniform magnetic field
• Breakdown of Particle-Hole Symmetry in the Lowest Landau Level Revealed by Tunneling Spectroscopy
• Fractional charge revealed in computer simulations of resonant tunneling in the fractional quantum Hall regime

Cited by in corpus (2)

• Imaging anyons with scanning tunneling microscopy
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level