Journal of Physics Condensed Matter

Dynamical structure factor for Haldane-gap antiferromagnets

Julia Mihailowa Wesselinowa

Published Jan 1, 1999• 0 citations

Abstract

The dynamical properties of a spin-1 chain with single-ion easy-plane anisotropy are studied by a Green's function technique. The longitudinal and transverse dynamical structure factors (DSFs) have been obtained from the imaginary part of the Green's functions. The static DSFs as a function of the momentum are numerically calculated.

DOI: 10.1088/0953-8984/11/19/101

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Journal of Physics Condensed Matter

Dynamical structure factor for Haldane-gap antiferromagnets

Julia Mihailowa Wesselinowa

Published Jan 1, 1999• 0 citations

Publisher

Abstract

DOI: 10.1088/0953-8984/11/19/101

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arXiv:1412.0208Physical Review BFeb 12, 201510 citations

We calculate dynamical structure factors of the

S=1

bond-alternating Heisenberg chain with a single-ion anisotropy in transverse magnetic fields, using a continued fraction method based on the Lanczos algorithm. In the Haldane-gap phase and the dimer phase, dynamical structure factors show characteristic field dependence. Possible interpretations are discussed in the viewpoint of the field dependence of the excitation continuum. The numerical results are in qualitative agreement with recent results for inelastic neutron-scattering experiments on the

S=1

bond-alternating Heisenberg-chain compound

\mathrm{Ni}({\mathrm{C}}_{9}{\mathrm{D}}_{24}{\mathrm{N}}_{4})(\mathrm{N}{\mathrm{O}}_{2})\mathrm{Cl}{\mathrm{O}}_{4}

and the

S=1

Haldane-gap compound

\mathrm{Ni}{({\mathrm{C}}_{5}{\mathrm{D}}_{14}{\mathrm{N}}_{2})}_{2}{\mathrm{N}}_{3}(\mathrm{P}{\mathrm{F}}_{6})

in transverse magnetic fields.

O(3)

nonlinear sigma model leads to quantitative predictions on several dynamical properties, including the 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}

{}_{14}

{}_{2}

)

{}_{2}

{}_{3}

(PF

{}_{6}

Improving matrix-product state techniques based on the purification of the density matrix, we are able to accurately calculate the finite-temperature dynamic response of the infinite spin-1

\text{XXZ}

chain with single-ion anisotropy in the Haldane, large-

D

, and antiferromagnetic phases. Distinct thermally activated scattering processes make a significant contribution to the spectral weight in all cases. In the Haldane phase, intraband magnon scattering is prominent, and the on-site anisotropy causes the magnon to split into singlet and doublet branches. In the large-

D

phase response, the intraband signal is separated from an exciton-antiexciton continuum. In the antiferromagnetic phase, holons are the lowest-lying excitations, with a gap that closes at the transition to the Haldane state. At finite temperatures, scattering between domain-wall excitations becomes especially important and strongly enhances the spectral weight for momentum transfer $\ensuremath{\pi}$.