Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model

Abstract

We consider spin-1 Haldane chains with single-ion anisotropy, which exists in known Haldane chain materials. We develop a perturbation theory in terms of anisotropy, where magnon-magnon interaction is important even in the low temperature limit. The exact two-particle form factor in the O(3) nonlinear sigma model leads to quantitative predictions on several dynamical properties including dynamical structure factor and electron spin resonance frequency shift. These agree very well with numerical results, and with experimental data on the Haldane chain material Ni(C${}_5$H${}_{14}$N${}_2$)${}_2$N${}_3$(PF${}_6$).

References in corpus (6)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• The ALPS project release 1.3: open source software for strongly correlated systems
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Universal temperature dependence of the magnetization of gapped spin chains
• Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples
• Direct perturbation theory on the shift of Electron Spin Resonance

Cited by in corpus (8)

• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Electron spin resonance for the detection of long-range spin nematic order
• Spin dynamics of the anisotropic spin-1 antiferromagnetic chain at finite magnetic fields
• Logarithmic negativity of the 1D antiferromagnetic spin-1 Heisenberg model with single-ion anisotropy
• Promising regimes for the observation of topological degeneracy in spin chains
• Mass ratio of elementary excitations in frustrated antiferromagnetic chains with dimerization
• Electron spin resonance shifts in S=1 antiferromagnetic chains