DOI: 10.1088/1742-5468/2005/09/p09003. Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime

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

10.1088/1742-5468/2005/09/p09003

Crossref journal-article

IOP Publishing

Journal of Statistical Mechanics: Theory and Experiment (266)

Abstract

We compute all dynamical spin–spin correlation functions for the spin-1/2 XXZ anisotropic Heisenberg model in the gapless antiferromagnetic regime at zero temperature, 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 formulae for equal-time correlation functions for small separations in zero field, and with predictions for the zero-field asymptotics from conformal field theory.

Bibliography

Caux, J.-S., Hagemans, R., & Maillet, J. M. (2005). Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime. Journal of Statistical Mechanics: Theory and Experiment, 2005(09), P09003âP09003.

Authors 3

Jean-Sébastien Caux (first)
Rob Hagemans (additional)
Jean Michel Maillet (additional)

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Dates

Type	When
Created	19 years, 11 months ago (Sept. 7, 2005, 11:13 p.m.)
Deposited	8 months, 2 weeks ago (Dec. 12, 2024, 6:14 a.m.)
Indexed	3 weeks, 4 days ago (Aug. 6, 2025, 9:49 a.m.)
Issued	19 years, 11 months ago (Sept. 1, 2005)
Published	19 years, 11 months ago (Sept. 1, 2005)
Published Online	19 years, 11 months ago (Sept. 7, 2005)
Published Print	19 years, 11 months ago (Sept. 1, 2005)

Funders 0

None

BibTeX

@article{Caux_2005, title={Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime}, volume={2005}, ISSN={1742-5468}, url={http://dx.doi.org/10.1088/1742-5468/2005/09/p09003}, DOI={10.1088/1742-5468/2005/09/p09003}, number={09}, journal={Journal of Statistical Mechanics: Theory and Experiment}, publisher={IOP Publishing}, author={Caux, Jean-Sébastien and Hagemans, Rob and Maillet, Jean Michel}, year={2005}, month=sep, pages={P09003–P09003} }

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