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 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Fingerprint Dive into the research topics of 'Third-neighbor correlators of a one-dimensional spin-[Formula presented] Heisenberg antiferromagnet'. Together they form a unique fingerprint.
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