Two-dimensional quantum liquids from interacting non-Abelian anyons
Strongly Correlated Electrons
2011-09-02 v1
Abstract
A set of localized, non-Abelian anyons - such as vortices in a p_x + i p_y superconductor or quasiholes in certain quantum Hall states - gives rise to a macroscopic degeneracy. Such a degeneracy is split in the presence of interactions between the anyons. Here we show that in two spatial dimensions this splitting selects a unique collective state as ground state of the interacting many-body system. This collective state can be a novel gapped quantum liquid nucleated inside the original parent liquid (of which the anyons are excitations). This physics is of relevance for any quantum Hall plateau realizing a non-Abelian quantum Hall state when moving off the center of the plateau.
Cite
@article{arxiv.1003.3453,
title = {Two-dimensional quantum liquids from interacting non-Abelian anyons},
author = {Andreas W. W. Ludwig and Didier Poilblanc and Simon Trebst and Matthias Troyer},
journal= {arXiv preprint arXiv:1003.3453},
year = {2011}
}
Comments
5 pages, 6 figures