Sufficient Conditions for Topological Order in Insulators
Strongly Correlated Electrons
2009-11-10 v2 Mesoscale and Nanoscale Physics
Abstract
We prove the existence of low energy excitations in insulating systems at general filling factor under certain conditions, and discuss in which cases these may be identified as topological excitations. This proof is based on previously proven locality results. In the case of half-filling it provides a significantly shortened proof of the recent higher dimensional Lieb-Schultz-Mattis theorem.
Cite
@article{arxiv.cond-mat/0411094,
title = {Sufficient Conditions for Topological Order in Insulators},
author = {M. B. Hastings},
journal= {arXiv preprint arXiv:cond-mat/0411094},
year = {2009}
}
Comments
7 pages, no figures