Condensing non-Abelian quasiparticles
Strongly Correlated Electrons
2010-02-07 v1 Mesoscale and Nanoscale Physics
Abstract
A most interesting feature of certain fractional quantum Hall states is that their quasiparticles obey non-Abelian fractional statistics. So far, candidate non-Abelian wave functions have been constructed from conformal blocks in cleverly chosen conformal field theories. In this work we present a hierarchy scheme by which we can construct daughter states by condensing non-Abelian quasiparticles (as opposed to quasiholes) in a parent state, and show that the daughters have a non-Abelian statistics that differ from the parent. In particular, we discuss the daughter of the bosonic, spin-polarized Moore-Read state at as an explicit example.
Cite
@article{arxiv.0906.2073,
title = {Condensing non-Abelian quasiparticles},
author = {M. Hermanns},
journal= {arXiv preprint arXiv:0906.2073},
year = {2010}
}