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26 April 2024
 
  » arxiv » cond-mat/0606776

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Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
M. Mambrini ; A. Laeuchli ; D. Poilblanc ; F. Mila ;
Date 29 Jun 2006
Subject Strongly Correlated Electrons
AbstractUsing both exact diagonalizations and diagonalizations in a subset of short-range valence bond singlets, we address the nature of the groundstate of the Heisenberg spin-1/2 antiferromagnet on the square lattice with competing next-nearest and next-next-nearest neighbor antiferromagnetic couplings (J1-J2-J3 model). A detailed comparison of the two approaches reveals a region along the line (J2+J3)/J1=1/2, where the description in terms of nearest-neighbor singlet coverings is excellent, therefore providing evidence for a magnetically disordered region. Furthermore a careful analysis of dimer-dimer correlation functions, dimer structure factors and plaquette-plaquette correlation functions provides striking evidence for the presence of a plaquette valence bond solid order in part of the magnetically disordered region.
Source arXiv, cond-mat/0606776
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