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

Kazumitsu Sakai, Masahiro Shiroishi, Yoshihiro Nishiyama, Minoru Takahashi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number6
DOIs
Publication statusPublished - Jan 1 2003

Fingerprint

Antiferromagnet
Correlator
correlators
Matrix Groups
renormalization group methods
Diagonalization
Density Matrix
logarithms
Logarithm
Riemann zeta function
Renormalization Group
Ground State

ASJC Scopus subject areas

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

Cite this

Third-neighbor correlators of a one-dimensional spin-[Formula presented] Heisenberg antiferromagnet. / Sakai, Kazumitsu; Shiroishi, Masahiro; Nishiyama, Yoshihiro; Takahashi, Minoru.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 6, 01.01.2003.

Research output: Contribution to journalArticle

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