Asymptotic form of the two-point correlation function of the XXZ spin chain

Authors
Fujii, Y Wadati, M
Citation
Y. Fujii et M. Wadati, Asymptotic form of the two-point correlation function of the XXZ spin chain, J PHYS A, 33(37), 2000, pp. 6497-6504
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
37
Year of publication
2000
Pages
6497 - 6504
Database
ISI
SICI code
0305-4470(20000922)33:37<6497:AFOTTC>2.0.ZU;2-C
Abstract
Correlation functions of the XXZ spin chain in the critical regime are stud ied at zero temperature. They are exactly represented in the Fredholm deter minant form and are related to an operator-valued Riemann-Hilbert problem. Analysing this problem we prove that a two-point correlation function is as ymptotically expressed in terms of power functions of the distance between spin operators.