2001/08/03 by J.-B. Fouet, Matthieu Mambrini, Fouet, J. -B. +5 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el) #earthquake and tectonic studies
paper · pdf · doi:10.48550/arxiv.cond-mat/0108070
openalex publication_date 2001/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 kagomé 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.