Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region
Kato, Go ; Shiroishi, Masahiro ; Takahashi, Minoru ; Sakai, Kazumitsu
arXiv, 0304475 / Harvested from arXiv
Text on arXiv
The correlation functions of the spin-1/2 XXZ spin chain in the ground state are expressed in the form of the multiple integrals. For -1< Delta <1, they were obtained by Jimbo and Miwa in 1996. Especially the next nearest-neighbour correlation functions are given as certain three-dimensional integrals. We shall show these integrals can be reduced to one-dimensional ones and thereby evaluate the values of the next nearest-neighbor correlation functions. We have also found that the remaining one-dimensinal integrals can be evaluated analytically, when nu = arccos(Delta)/pi is a rational number.
Publié le : 2003-04-22
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0304475,
     author = {Kato, Go and Shiroishi, Masahiro and Takahashi, Minoru and Sakai, Kazumitsu},
     title = {Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at
  Critical Region},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304475}
}

Kato, Go; Shiroishi, Masahiro; Takahashi, Minoru; Sakai, Kazumitsu. Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at
  Critical Region. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304475/