Ground state of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter Delta=1/2

Authors
Fridkin, V Stroganov, Y Zagier, D
Citation
V. Fridkin et al., Ground state of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter Delta=1/2, J PHYS A, 33(13), 2000, pp. L121-L125
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
13
Year of publication
2000
Pages
L121 - L125
Database
ISI
SICI code
0305-4470(20000407)33:13<L121:GSOTQS>2.0.ZU;2-Y
Abstract
We find an analytic solution of the Bethe Ansatz equations for the special case of a finite XXZ spin chain with free boundary conditions and with a co mplex surface field which provides for U-q(sl(2)) symmetry of the Hamiltoni an. More precisely, we find one nontrivial solution, corresponding to the g round state of the system with anisotropy parameter Delta = 1/2 correspondi ng to q(3) = -1.