### Abstract

The correlation functions of the spin-1/2 XXZ chain in the ground state are expressed in the form of multiple integrals. For -1 < Δ < 1, they were obtained by Jimbo and Miwa in 1996. In particular, the next-nearest-neighbour correlation functions are given as certain three-dimensional integrals. We show that these can be reduced to one-dimensional integrals and thereby we evaluate the values of the next-nearest-neighbour correlation functions. We have also found that the remaining one-dimensional integrals can be evaluated analytically, when ν = cos^{-1}(Δ)/π is a rational number.

Original language | English |
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Pages (from-to) | L337-L344 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 36 |

Issue number | 23 |

DOIs | |

Publication status | Published - 13 Jun 2003 |

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## Cite this

Kato, G., Shiroishi, M., Takahashi, M., & Sakai, K. (2003). Next-nearest-neighbour correlation functions of the spin-1/2 XXZ chain at the critical region.

*Journal of Physics A: Mathematical and General*,*36*(23), L337-L344. https://doi.org/10.1088/0305-4470/36/23/102