Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential
Mesoscale and Nanoscale Physics
2009-10-06 v2 Strongly Correlated Electrons
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.
Cite
@article{arxiv.0906.5537,
title = {Scattering Theory for Quantum Hall Anyons in a Saddle Point Potential},
author = {A. Matthews and N. R. Cooper},
journal= {arXiv preprint arXiv:0906.5537},
year = {2009}
}
Comments
5 pages. Published version, with clarified presentation