Third-neighbor correlators of a one-dimensional spin-[Formula presented] Heisenberg antiferromagnet

Kazumitsu Sakai, Masahiro Shiroishi, Yoshihiro Nishiyama, Minoru Takahashi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We exactly evaluate the third-neighbor correlator [Formula presented] and all the possible nonzero correlators [Formula presented] of the one-dimensional spin-[Formula presented] Heisenberg [Formula presented] antiferromagnet in the ground state without magnetic field. All the correlators are expressed in terms of certain combinations of logarithm [Formula presented] the Riemann zeta function [Formula presented] [Formula presented] with rational coefficients. The results accurately coincide with the numerical ones obtained by the density-matrix renormalization group method and the numerical diagonalization.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
Publication statusPublished - 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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