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

Kazumitsu Sakai; Masahiro Shiroishi; Yoshihiro Nishiyama; Minoru Takahashi

doi:10.1103/PhysRevE.67.065101

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

Kazumitsu Sakai, Masahiro Shiroishi, Yoshihiro Nishiyama, Minoru Takahashi

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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 language	English
Number of pages	1
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	67
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.67.065101
Publication status	Published - Jan 1 2003

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ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

Sakai, K., Shiroishi, M., Nishiyama, Y., & Takahashi, M. (2003). Third-neighbor correlators of a one-dimensional spin-[Formula presented] Heisenberg antiferromagnet. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67(6). https://doi.org/10.1103/PhysRevE.67.065101

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10.1103/PhysRevE.67.065101