Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime

J. -S. Caux 1 R. Hagemans 1 Jean Michel Maillet 2
1 ITP - Institute for Theoretical Physics
2 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
Abstract : We compute all dynamical spin-spin correlation functions for the spin-1/2 $XXZ$ anisotropic Heisenberg model in the gapless antiferromagnetic regime, using numerical sums of exact determinant representations for form factors of spin operators on the lattice. Contributions from intermediate states containing many particles and string (bound) states are included. We present modified determinant representations for the form factors valid in the general case with string solutions to the Bethe equations. Our results are such that the available sum rules are saturated to high precision. We Fourier transform our results back to real space, allowing us in particular to make a comparison with known exact formulas for equal-time correlation functions for small separations in zero field, and with predictions for the zero-field asymptotics from conformal field theory.
Keywords : Integrable models spin chain Correlation functions Bethe ansatz
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Journal articles
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00266543
Contributor : Jean Michel Maillet <>
Submitted on : Monday, March 24, 2008 - 5:02:21 PM
Last modification on : Monday, December 16, 2019 - 4:02:14 PM

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J. -S. Caux, R. Hagemans, Jean Michel Maillet. Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2005, pp.P09003. ⟨10.1088/1742-5468/2005/09/P09003⟩. ⟨ensl-00266543⟩

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