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 | |
| 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
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 journal › Article
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TY - JOUR
T1 - Third-neighbor correlators of a one-dimensional spin-[Formula presented] Heisenberg antiferromagnet
AU - Sakai, Kazumitsu
AU - Shiroishi, Masahiro
AU - Nishiyama, Yoshihiro
AU - Takahashi, Minoru
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.67.065101
DO - 10.1103/PhysRevE.67.065101
M3 - Article
AN - SCOPUS:85037252601
VL - 67
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 6
ER -