Exact ground and excited states of frustrated antiferromagnets on the CaV_4O_9 lattice

Details Exact ground and excited states of frustrated antiferromagnets on the CaV_4O_9 lattice Exact ground and excited states of frustrated antiferromagnets on the CaV_4O_9 lattice

1997-01-09

arxiv.org/abs/cond-mat/9701058v2

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, LaTeX, 4 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.56.3149

The experimental observation of a spin-gap in the antiferromagnetic spin-1/2 compound $CaV_4O_9$ has been attributed to the formation of a plaquette resonating-valence-bond (PRVB) state in the underlying 1/5-depleted square lattice. We construct a spin-1/2 model on the 1/5-depleted lattice for which the PRVB state can be shown to be the exact ground state in a particular parameter regime. In a subspace of this parameter regime, the first excited state can be calculated exactly. In a different parameter regime, the dimer state is shown to be the exact ground state.

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