Statistics of skyrmions and the 5/2 puzzle
Mesoscale and Nanoscale Physics
2009-10-28 v3
Abstract
1) For the hard core interaction there is some freedom left in the choice of the exact multiskyrmionic wave function's topology. The statistics of textured quasiholes, analyzed by calculation of the Berry phase, depends on this choice of topology. 2) We find a class of textured two-hole eigenstates of the Coulomb interaction. There is no definite quantum statistics but there is a definite rule of how to construct Coulomb eigenstates out of the hard core wave functions. 3) A wave function for the 5/2 state is constructed according to this rule.
Cite
@article{arxiv.cond-mat/9605003,
title = {Statistics of skyrmions and the 5/2 puzzle},
author = {Jacek Dziarmaga},
journal= {arXiv preprint arXiv:cond-mat/9605003},
year = {2009}
}
Comments
13 pages, Latex; Extended version to appear in Phys.Rev.B; wave function for a droplet of 5/2 state is proposed; some new rigorous results about spin