Fifth-neighbor spin-spin correlator for the anti-ferromagnetic Heisenberg chain
High Energy Physics - Theory
2009-11-11 v3 Statistical Mechanics
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We study the generating function of the spin-spin correlation functions in the ground state of the anti-ferromagnetic spin-1/2 Heisenberg chain without magnetic field. We have found its fundamental functional relations from those for general correlation functions, which originate in the quantum Knizhink-Zamolodchikov equation. Using these relations, we have calculated the explicit form of the generating functions up to n=6. Accordingly we could obtain the spin-spin correlator <S_j^z S_{j+k}^z> up to k=5.
Keywords
Cite
@article{arxiv.hep-th/0504008,
title = {Fifth-neighbor spin-spin correlator for the anti-ferromagnetic Heisenberg chain},
author = {Jun Sato and Masahiro Shiroishi},
journal= {arXiv preprint arXiv:hep-th/0504008},
year = {2009}
}
Comments
10 pages