The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain

Abstract

We determine the spin-exchange dynamical structure factor of the Heisenberg spin chain, as is measured by indirect Resonant Inelastic X-ray Scattering (RIXS). We find that two-spin RIXS excitations nearly entirely fractionalize into *two spinon* states. These share the same continuum lower bound as single-spin neutron scattering excitations, even if the relevant final states belong to orthogonal symmetry sectors. The RIXS spectral weight is mainly carried by higher-energy excitations, and is beyond the reach of the low-energy effective theories of Luttinger liquid type.

4 pages, 4 figures

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• Spinons and triplons in spatially anisotropic frustrated antiferromagnets
• Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
• Observation of a 500meV Collective Mode in La${}_{2-x}$Sr${}_x$CuO${}_4$ and Nd${}_2$CuO${}_4$
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