Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-06-30
Phys. Rev. B 80, 165309 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
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.
Cooper Nigel R.
Matthews Aaron
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