Further Series Studies of the Spin-1/2 Heisenberg Antiferromagnet at T=0: Magnon Dispersion and Structure Factors

Abstract

We have extended our previous series studies of quantum antiferromagnets at zero temperature by computing the one-magnon dispersion curves and various structure factors for the linear chain, square and simple cubic lattices. Many of these results are new; others are a substantial extension of previous work. These results are directly comparable with neutron scattering experiments and we make such comparisons where possible.

arXiv comment15 pages, 12 figures, revised version

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• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
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• Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
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• Excitations with projected entangled pair states using the corner transfer matrix method
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• Quantum effects in a weakly-frustrated S=1/2 two-dimensional Heisenberg antiferromagnet in an applied magnetic field
• Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
• Spin-waves in the $J_{1a}-J_{1b}-J_2$ orthorombic square-lattice Heisenberg models: Application to the iron pnictide materials
• Spectrum of short-wavelength magnons in two-dimensional quantum Heisenberg antiferromagnet on a square lattice: third order expansion in 1/S
• Effects of ring exchange interaction on the Neel phase of two-dimensional, spatially anisotropic, frustrated Heisenberg quantum antiferromagnet
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• Dynamical properties of quantum many-body systems with long range interactions
• Magnetic Excitation Spectrum of the Square Lattice S=1/2 Heisenberg Antiferromagnet K2V3O8
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Hybridization and Decay of Magnetic Excitations in two-dimensional Triangular Lattice Antiferromagnets
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
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• Spin correlations near the edge as probe of Dimer order in square-lattice Heisenberg models
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• Elementary excitations in the ordered phase of spin-1/2 J1-J2 model on square lattice
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• Continuous similarity transformation for critical phenomena: easy-axis antiferromagnetic XXZ model
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• Varied Perturbation Theory for the Dispersion Dip in the Two-Dimensional Heisenberg Quantum Antiferromagnet
• Magnetic excitations from the two-dimensional interpenetrating Cu framework in Ba${}_2$Cu${}_3$O${}_4$Cl${}_2$
• Quantum phases of hardcore bosons with repulsive dipolar density-density interactions on two-dimensional lattices
• Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations
• RVB signatures in the spin dynamics of the square-lattice Heisenberg antiferromagnet
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Hardcore Magnons in the S=1/2 Heisenberg Model on the Square Lattice
• Low-energy singlet excitations in spin- 1/2 Heisenberg antiferromagnet on square lattice
• Confined and deconfined spinon excitations in the rectangular-lattice quantum antiferromagnet
• From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Gapped spinful phases obtained via Gutzwiller projections of Euler states
• Projected Holstein-Primakoff boson representation of quantum spins for spin wave theory