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

References in corpus (4)

• "Deconfined" quantum critical points
• Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
• Low temperature broken symmetry phases of spiral antiferromagnets
• Spinon deconfinement in doped frustrated quantum antiferromagnets

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• Critical Correlations for Short-Range Valence-Bond Wave Functions on the Square Lattice
• Master equation approach to computing RVB bond amplitudes
• Variational ground states of 2D antiferromagnets in the valence bond basis
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Plaquette Order in the J1-J2-J3 model: a series expansion analysis
• Monte Carlo studies of the Ising square lattice with competing interactions
• Quantum Phase Transition in the Four-Spin Exchange Antiferromagnet
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Hardcore dimer aspects of the SU(2) Singlet wavefunction
• Frustration, Area Law, and Interference in Quantum Spin Models
• Deconfinement criticality for the spatially anisotropic triangular antiferromagnet with the ring exchange
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities
• Magneto-elastic effects and magnetization plateaus in two dimensional systems