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arXiv · 0906.5537

Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential

A. Matthews·N. R. Cooper
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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.

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A. Matthews, N. R. Cooper. 2009-10-06. Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential. https://doi.org/10.1103/physrevb.80.165309

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