Domain wall type defects as anyons in phase space
Mesoscale and Nanoscale Physics
2009-11-11 v4 Strongly Correlated Electrons
Abstract
We discuss how the braiding properties of Laughlin quasi-particles in quantum Hall states can be understood within a one-dimensional formalism we proposed earlier. In this formalism the two-dimensional space of the Hall liquid is identified with the phase space of a one-dimensional lattice system, and localized Laughlin quasi-holes can be understood as coherent states of lattice solitons. The formalism makes comparatively little use of the detailed structure of Laughlin wavefunctions, and may offer ways to be generalized to non-abelian states.
Cite
@article{arxiv.cond-mat/0611535,
title = {Domain wall type defects as anyons in phase space},
author = {Alexander Seidel and Dung-Hai Lee},
journal= {arXiv preprint arXiv:cond-mat/0611535},
year = {2009}
}
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published version