Effects of ring exchange interaction on the Neel phase of two-dimensional, spatially anisotropic, frustrated Heisenberg quantum antiferromagnet

Abstract

Higher order quantum effects on the magnetic phase diagram induced by four-spin ring exchange on plaquettes are investigated for a two-dimensional quantum antiferromagnet with S=1/2. Spatial anisotropy and frustration are allowed for. Using a perturbative spin-wave expansion up to second order in 1/S we obtain the spin-wave energy dispersion, sublattice magnetization, and the magnetic phase diagram. We find that for substantial four-spin ring exchange the quantum fluctuations are stronger than in the standard Heisenberg model. A moderate amount of four-spin ring exchange couplings stabilizes the ordered antiferromagnetic Neel state while a large amount renders it unstable. Comparison with inelastic neutron scattering data points toward a moderate ring exchange coupling of 27% to 29% of the nearest-neighbor exchange coupling.

10 figures, minor editorial changes in the published version

References in corpus (22)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Strong Correlations and Magnetic Frustration in the High Tc Iron Pnictides
• Competing Orders and Spin-Density-Wave Instability in La(O${}_{1-x}$F${}_x$)FeAs
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Commensurate Spin Density Wave in LaOFeAs: A Local Probe Study
• Anomalous High-Energy Spin Excitations in La2CuO4
• Low energy spin waves and magnetic interactions in SrFe${}_2$As${}_2$
• Itinerant magnetic excitations in antiferromagnetic CaFe2As2
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Quantum dynamics and entanglement of spins on a square lattice
• Anisotropy, Itineracy, and Magnetic Frustration in High-Tc Iron Pnictides
• One- and Two-Triplon Spectra of a Cuprate Ladder
• Extension of the spin-1/2 frustrated square lattice model: the case of layered vanadium phosphates
• Interplay between magnetic properties and Fermi surface nesting in iron pnictides
• Pnictides as frustrated quantum antiferromagnet close to a quantum phase transition
• Magnetic Excitations in the High Tc Iron Pnictides
• Systematic Mapping of the Hubbard Model to the Generalized t-J Model
• Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
• Spectrum of short-wavelength magnons in two-dimensional quantum Heisenberg antiferromagnet on a square lattice: third order expansion in 1/S
• The quantum $J_1$-$J_1^{\prime }$-$J_2$ spin-1/2 Heisenberg model: Influence of the interchain coupling on the ground-state magnetic ordering in 2D
• Derivation of the t-J model for finite doping
• Synthesis and Microstructural Studies of Iron Oxypnictide LaO1-xFxFeAs Superconductors

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