Irrational vs. rational charge and statistics in two-dimensional quantum systems
Strongly Correlated Electrons
2008-11-26 v3 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tight-biding systems described, in the continuum approximation, by the Dirac equation in (2+1)-dimensional space and time. These excitations can be deconfined at zero temperature, but when they are, the charge re-rationalizes to the value 1/2 and the exchange statistics to that of "quartons" (half-semions).
Cite
@article{arxiv.0707.0293,
title = {Irrational vs. rational charge and statistics in two-dimensional quantum systems},
author = {Claudio Chamon and Chang-Yu Hou and Roman Jackiw and Christopher Mudry and So-Young Pi and Andreas P. Schnyder},
journal= {arXiv preprint arXiv:0707.0293},
year = {2008}
}
Comments
4 pages, 2 figures