On the presence of mid-gap states in CaV4O9

Details On the presence of mid-gap states in CaV4O9 On the presence of mid-gap states in CaV4O9

1996-06-17

arxiv.org/abs/cond-mat/9606120v1

Physics

Condensed Matter

4 pages, 5 postscript figures

Scientific paper

10.1103/PhysRevB.54.15856

Using exact diagonalizations of finite clusters with up to 32 sites, we study the $J_1-J_2$ model on the 1/5 depleted square lattice. Spin-spin correlation functions are consistent with plaquette order in the spin gap phase which exists for intermediate values of $J_2/J_1$. Besides, we show that singlet states will be present in the singlet-triplet gap if $J_2/J_1$ is not too small ($J_2/J_1 \gtrsim 0.47$). We argue that this property should play a central role in determining the exchange integrals in ${\rm CaV}_4{\rm O}_9$

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