Phys. Rev. B 80, 165309 (2009) [5 pages]Scattering theory for quantum Hall anyons in a saddle point potentialReceived 30 June 2009; revised 13 September 2009; published 6 October 2009 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 center-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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.165309
DOI:
10.1103/PhysRevB.80.165309
PACS:
05.30.Pr, 73.43.−f, 03.65.Nk
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