On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets

Abstract

We analyse the three-particle scattering continuum in quasi one dimensional integer spin Heisenberg antiferromagnets within a low-energy effective field theory framework. We exactly determine the zero temperature dynamical structure factor in the O(3) nonlinear sigma model and in Tsvelik's Majorana fermion theory. We study the effects of interchain coupling in a Random Phase Approximation. We discuss the application of our results to recent neutron-scattering experiments on the Haldane-gap material $\mathrm{CsNiC}{\mathrm{l}}_3$.

8 pages of revtex, 5 figures, small changes, to appear in PRB

References in corpus (5)

• Bosonization and Strongly Correlated Systems
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Form-factors of exponential fields in the sine-Gordon model

Cited by in corpus (24)

• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Finite-temperature lineshapes in gapped quantum spin chains
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
• Multi-particle States in Spin-1 Chain System CsNiCl3
• The properties of Haldane excitations and multi-particle states in the antiferromagnetic spin-1 chain compound CsNiCl
• Quadrupolar magnetic excitations in an isotropic spin-1 antiferromagnet
• Spectrum and correlation functions of a quasi-one-dimensional quantum Ising model
• Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
• Haldane-gap chains in a magnetic field
• On the spin-liquid phase of one dimensional spin-1 bosons
• Particle Content of the Nonlinear Sigma Model with Theta-Term: a Lattice Model Investigation
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Divergent nonlinear response from quasiparticle interactions
• Dynamical response functions in the quantum Ising chain with a boundary
• Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
• Magnon bands of N-leg integer-spin antiferromagnetic systems in the weak interchain-coupling regime
• Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems
• Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
• Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
• Three-magnon problem for exactly rung-dimerized spin ladders: from general outlook to Bethe Ansatze
• Temperature dependence of single particle excitations in a S=1 chain: exact diagonalization calculations compared to neutron scattering experiments
• Dynamical structure factors of S=1 bond-alternating Heisenberg chains
• Quantized ΔS=2 Excitation Spectra by Confinement in an S=1 Spin Chain