Dynamics of the 1D Heisenberg model and optical absorption of spinons in cuprate antiferromagnetic chains

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Abstract
We use numerical and analytical results to construct a simple ansatz for the energy dynamical correlation function of the 1D antiferromagnetic Heisenberg model. This is applied to compute the phonon assisted absorption spectra of magnetic excitations (spinons) in quasi-one dimensional spin 1/2 insulators and show to reproduce very well recent infrared measurements in Sr$_2$CuO$_3$.

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