Correlation functions of finite XXZ model with boundaries

Citation
Y. Fujii et M. Wadati, Correlation functions of finite XXZ model with boundaries, CHAOS SOL F, 11(4), 2000, pp. 565-579
Citations number
32
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
11
Issue
4
Year of publication
2000
Pages
565 - 579
Database
ISI
SICI code
0960-0779(200003)11:4<565:CFOFXM>2.0.ZU;2-J
Abstract
The finite XXZ model with boundaries is considered. We use the matrix produ ct ansatz (MPA), which was originally developed in the studies on the asymm etric simple exclusion process and the quantum antiferromagnetic spin chain . The MPA demonstrates that the eigenstate of the Hamiltonian is constructe d by the Zamolodchikov-Faddeev algebra (ZF-algebra) and the boundary states . We adopt the type I vertex operator of U-q((s) over cap l(2)) as the ZF-a lgebra and realize the boundary states in the bosonic U-q((s) over cap l(2) ) form. The correlation functions are given by the product of the vertex op erators and the bosonic boundary states. We express them in the integration forms. (C) 2000 Elsevier Science Ltd. All rights reserved.