Scattering theory for quantum Hall anyons in a saddle point potential

Article

关键词: CHARGED QUASI-PARTICLES;    FRACTIONAL CHARGE;    STATISTICS;   

DOI  :  10.1103/PhysRevB.80.165309

来源: SCIE

【 摘 要 】

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.

【 授权许可】

Free