Klein spin model ground states on general lattices

Details Klein spin model ground states on general lattices Klein spin model ground states on general lattices

2006-06-05

arxiv.org/abs/cond-mat/0606075v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

We prove that in short range Klein spin models on general lattices, all ground states are of the dimer type- each fundamental plaquette must host at least one singlet. These ground states are known to rigorously exhibit high dimensional fractionalization. When combined with a recent theorem, this establishes that Klein spin models exhibit topological order on the pyrochlore and checkerboard lattices.

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