Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy

Abstract

We study the dynamical spin excitations of the one-dimensional $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy by using quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation function. Using the transverse dynamic spin structure factor, we observe the quantum phase transition with a critical point between the topological Haldane gapped phase and the trivial phase. At the quantum critical point, we find a broad continuum characterized by the Tomonaga-Luttinger liquid similar to a $S=1/2$ Heisenberg antiferromagnetic chain. We further identify that the elementary excitations are fractionalized spinons.

7 pages, 8 figures

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Cited by in corpus (7)

• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Single-ion anisotropy effects on the critical behaviors of quantum entanglement and correlation in the spin-1 Heisenberg chain
• Dynamical properties of the Haldane chain with bond disorder
• Zigzag magnetic order in a novel tellurate compound Na${}_{4-\delta }$NiTeO${}_6$ with $S$ = 1 chains
• Local dynamics and detection of topology in spin-1 chains
• A Jastrow wave function for the spin-1 Heisenberg chain: the string order revealed by the mapping to the classical Coulomb gas
• Anisotropy-induced spin parity effects