Sufficient Conditions for Topological Order in Insulators

Details Sufficient Conditions for Topological Order in Insulators Sufficient Conditions for Topological Order in Insulators

2004-11-04

arxiv.org/abs/cond-mat/0411094v2

Europhys. Lett. 70, 824 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, no figures

Scientific paper

10.1209/epl/i2005-10046-x

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.

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