Sufficient conditions for topological order in insulators

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. In the specific case of half-filling this proof provides a significantly shortened proof of the re...

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Bibliographic Details
Published in:Europhysics letters 2005-06, Vol.70 (6), p.824-830
Main Author: Hastings, M. B
Format: Article
Language:English
Subjects:
75.10.Jm
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Summary: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. In the specific case of half-filling this proof provides a significantly shortened proof of the recent higher-dimensional Lieb-Schultz-Mattis theorem.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2005-10046-x