Next nearest neighbor correlation functions of the spin 1/2 XXZ chain at critical region

Apr, 2003
10 pages
Published in:
  • J.Phys.A 36 (2003) L337-L344
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Abstract: (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.
Note:
  • 10 pages, 2 figures