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- W2949289719 abstract "Exact diagonalizations of the spin-1/2 Heisenberg model on the checkerboard lattice have been performed for sizes up to N=36 in the full Hilbert space and N=40 in the restricted subspace of first neighbor dimers. This antiferromagnet does not break SU(2) symmetry and displays long range order in 4-spin S=0 plaquettes. Both the symmetry properties of the spectrum and various correlations functions are extensively studied. At variance with the kagom{'e} antiferromagnet, the Heisenberg quantum model on a checkerboard lattice is a Valence Bond Crystal. Some results concerning the 3-dimensionnal spin-1/2 pyrochlore magnet (for sizes 16 and 32) are also shown: this system could behave differently from its 2-dimensional analog." @default.
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- W2949289719 date "2001-08-03" @default.
- W2949289719 modified "2023-09-26" @default.
- W2949289719 title "The planar pyrochlore: a Valence Bond Crystal" @default.
- W2949289719 doi "https://doi.org/10.48550/arxiv.cond-mat/0108070" @default.
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