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Journal articles
Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00266543
Contributor : Jean Michel Maillet Connect in order to contact the contributor
Submitted on : Monday, March 24, 2008 - 5:02:21 PM
Last modification on : Friday, November 13, 2020 - 3:28:04 PM
Contributor : Jean Michel Maillet Connect in order to contact the contributor
Submitted on : Monday, March 24, 2008 - 5:02:21 PM
Last modification on : Friday, November 13, 2020 - 3:28:04 PM
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