| Issue |
Europhys. Lett.
Volume 70, Number 6, June 2005
|
|
|---|---|---|
| Page(s) | 824 - 830 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2005-10046-x | |
| Published online | 13 May 2005 | |
Sufficient conditions for topological order in insulators
Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory Los Alamos, NM 87545, USA
Corresponding author: hastings@lanl.gov
Received:
28
February
2005
Accepted:
26
April
2005
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.
PACS: 75.10.Jm – Quantized spin models
© EDP Sciences, 2005
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