String correlation functions of the spin-1/2 Heisenberg XXZ chain
Statistical Mechanics
2008-12-18 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We calculate certain string correlation functions, originally introduced as order parameters in integer spin chains, for the spin-1/2 XXZ Heisenberg chain at zero temperature and in the thermodynamic limit. For small distances, we obtain exact results from Bethe Ansatz and exact diagonalization, whereas in the large-distance limit, field-theoretical arguments yield an asymptotic algebraic decay. We also make contact with two-point spin-correlation functions in the asymptotic limit.
Cite
@article{arxiv.cond-mat/0612348,
title = {String correlation functions of the spin-1/2 Heisenberg XXZ chain},
author = {Michael Bortz and Jun Sato and Masahiro Shiroishi},
journal= {arXiv preprint arXiv:cond-mat/0612348},
year = {2008}
}
Comments
23 pages, 4 figures. An incomplete discussion on the limit to the spin-spin correlation function is corrected on page 12