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arXiv:1306.4678 · Nature Physics

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain

Martin Mourigal, M. Enderle, Axel Klöpperpieper, Jean-Sébastien Caux, Anne Stunault, Henrik Moodysson Rønnow

Published Jun 14, 2013• 326 citations
arXivHTMLPDF
DOI
10.1038/nphys2652

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We study the dynamical spin excitations of the one-dimensional S=1S=1S=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, and its dynamical signatures are similar to a S=1/2S=1/2S=1/2 Heisenberg antiferromagnetic chain. The broad continuum can be seen as a dynamical signature of spinons. We further identify that the elementary excitations are fractionalized spinons in the critical state.