Go Kato1, Masahiro Shiroishi2, Minoru Takahashi2 and Kazumitsu Sakai2
1
Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan
2
Institute for Solid State Physics, University of Tokyo, Kashiwanoha, Kashiwa-shi, Chiba 277-8581, Japan
kato@monet.phys.s.u-tokyo.ac.jp siroisi@issp.u-tokyo.ac.jp mtaka@issp.u-tokyo.ac.jp kaz@issp.u-tokyo.ac.jp
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Go Kato et al 2003 J. Phys. A: Math. Gen. 36 L337
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.
Issue 23 (13 June 2003)
Received 22 April 2003
Published 29 May 2003
Go Kato et al 2003 J. Phys. A: Math. Gen. 36 L337
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