Sufficient conditions for topological order in insulatorsM. B. Hastings
Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory Los Alamos, NM 87545, USA
received 28 February 2005; accepted in final form 26 April 2005
published online 13 May 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.
75.10.Jm - Quantized spin models.
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