Finite-temperature dynamic structure factor of the spin-1 XXZ chain with single-ion anisotropy

Abstract

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 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 onsite 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 $\pi$.

revised version with minor changes and fixes, accepted for publication in Physical Review B (Rapid Communications)

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Cited by in corpus (16)

• Finite-temperature transport in one-dimensional quantum lattice models
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• Magnetization dynamics in clean and disordered spin-1 XXZ chains
• Large Easy Axis Anisotropy in the One-Dimensional Magnet BaMo(PO${}_4$)${}_2$
• NMR relaxation in the spin-1 Heisenberg chain
• Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets
• Photoinduced metallization of excitonic insulators
• Finite-temperature photoemission in the extended Falicov-Kimball model: a case study for Ta${}_2$NiSe${}_5$
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Magnetic properties of a staggered $S=1$ chain Ni(pym)(H${}_2$O)${}_2$(NO${}_3$)${}_2$ with an alternating single-ion anisotropy direction
• Low dimensional correlations under thermal fluctuations
• Local dynamics and detection of topology in spin-1 chains
• Photoinduced pairing in Mott insulators
• Dynamic response of spin-2 bosons in one-dimensional optical lattices