Anyons beyond the plane
Condensed Matter
2009-10-28 v1 High Energy Physics - Theory
Abstract
We consider particles in three-dimensional space, which have a certain probability to find themselves in a thin layer (``plane''), where they are assumed to be well described by a planar Hamiltonian and are subject to Aharonov-Bohm-type interaction. We demonstrate that their planar motion is then anyonlike, with the ``effective statistical parameter'' proportional essentially to the square of the probability. We also show that charge-flux composites with solenoids of finite length, provided they are themselves fermions, can form a bound state in which they behave like anyons, without any external potential confining them to a plane.
Cite
@article{arxiv.cond-mat/9503160,
title = {Anyons beyond the plane},
author = {Edouard Gorbar and Stefan Mashkevich and Sergei Sharapov},
journal= {arXiv preprint arXiv:cond-mat/9503160},
year = {2009}
}
Comments
14 pages, LATEX, 2 Postscript figures available upon request to [email protected]