Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages. Published version, with clarified presentation

Scientific paper

10.1103/PhysRevB.80.165309

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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