Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice

Abstract

Using 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.

11 pages, 17 figures To appear in Phys. Rev. B

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• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
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• Numerical evidence for the spin-Peierls state in the frustrated quantum antiferromagnet
• Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model
• Spinon deconfinement in doped frustrated quantum antiferromagnets
• Critical dynamics of singlet and triplet excitations in strongly frustrated spin systems

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