Asymptotic form of two-point correlation function of the XXZ spin chain
Condensed Matter
2009-10-31 v3 Functional Analysis
Abstract
Correlation functions of the XXZ spin chain in the critical regime is studied at zero-temperature. They are exactly represented in the Fredholm determinant form and are related with an operator-valued Riemann-Hilbert problem. Analyzing this problem we prove that a two-point correlation function consisting of sufficiently separated spin operators is expressed by power-functions of the distance between those operators.
Keywords
Cite
@article{arxiv.cond-mat/0002219,
title = {Asymptotic form of two-point correlation function of the XXZ spin chain},
author = {Yasuhiro Fujii and Miki Wadati},
journal= {arXiv preprint arXiv:cond-mat/0002219},
year = {2009}
}
Comments
9 pages, LaTeX2e (+ amssymb, amsthm); Proof of Lemma 1 is revised