Planar pyrochlore: A valence-bond crystal

被引：91

作者：

Fouet, JB ^{[1
]}

Mambrini, M ^{[1
]}

Sindzingre, P ^{[1
]}

Lhuillier, C ^{[1
]}

机构：

[1] Univ Paris 06, Phys Theor Liquides Lab, CNRS, UMR 7600, F-75252 Paris, France

来源：

PHYSICAL REVIEW B | 2003年 / 67卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.67.054411

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 four-spin S=0 plaquettes. Both the symmetry properties of the spectrum and various correlations functions are extensively studied. At variance with the kagome antiferromagnet, the Heisenberg quantum model on a checkerboard lattice is a valence bond crystal. Some results concerning the three-dimensional spin-1/2 pyrochlore magnet (for sizes 16 and 32) are also shown: this system could behave differently from its two-dimensional analog.

引用

页数：8

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