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

Go Kato, Masahiro Shiroishi, Minoru Takahashi, Kazumitsu Sakai

Research output: Contribution to journalArticle

38 Citations (Scopus)

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 languageEnglish
Pages (from-to)L337-L344
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number23
DOIs
Publication statusPublished - 13 Jun 2003

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