Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential

Abstract

We study the theory of scattering of two anyons in the presence of a quadratic saddle-point potential and a perpendicular magnetic field. The scattering problem decouples in the centre-of-mass and the relative coordinates. The scattering theory for the relative coordinate encodes the effects of anyon statistics in the two-particle scattering. This is fully characterized by two energy-dependent scattering phase shifts. We develop a method to solve this scattering problem numerically, using a generalized lowest Landau level approximation.

5 pages. Published version, with clarified presentation

References in corpus (8)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Signatures of fractional statistics in noise experiments in quantum Hall fluids
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
• Bunching of Fractionally-Charged Quasiparticles Tunneling through High Potential Barriers
• Conductance and Shot Noise for Particles with Exclusion Statistics
• Two-particle scattering theory for anyons

Cited by in corpus (4)

• Quasinormal Modes and Hawking-Unruh effect in Quantum Hall Systems: Lessons from Black Hole Phenomena
• Model for Dissipative Conductance in Fractional Quantum Hall States
• Correlations and beam splitters for quantum Hall anyons
• Correlations, Dynamics, and Interferometry of Anyons in the Lowest Landau Level