Monte Carlo study of four-spinon dynamic structure function in antiferromagnetic Heisenberg model

DOI10.1088/0305-4470/37/2/017zbMATH Open1050.82013arXivcond-mat/0302219OpenAlexW2135059851MaRDI QIDQ4469941

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Publication date: 22 June 2004

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Abstract: Using Monte Carlo integration methods, we describe the behavior of the exact four-spinon dynamic structure function $S_4$ in the antiferromagnetic spin 1/2 Heisenberg quantum spin chain as a function of the neutron energy $omega$ and momentum transfer $k$. We also determine the four-spinon continuum, the extent of the region in the $(k,omega)$ plane outside which $S_4$ is identically zero. In each case, the behavior of $S_4$ is shown to be consistent with the four-spinon continuum and compared to the one of the exact two-spinon dynamic structure function $S_2$. Overall shape similarity is noted.

Full work available at URL: https://arxiv.org/abs/cond-mat/0302219

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