Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas
Condensed Matter
2007-05-23 v1 High Energy Physics - Theory
Abstract
We conjecture that a two-dimensional anyon system reduces, when confined to a narrow channel, to a one-dimensional bose gas with a repulsive two-body -function interaction. We verify this conjecture in first-order perturbation theory near bosons. If the channel width is reduced to zero, the one-dimensional system is fermionic for all anyons other than bosons.
Keywords
Cite
@article{arxiv.cond-mat/9412013,
title = {Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas},
author = {Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/9412013},
year = {2007}
}
Comments
8 pages, plain TeX, no figures