Related Experiment Video
Updated: Aug 15, 2026

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
Published on: March 24, 2019
Third-neighbor correlators of a one-dimensional spin-1/2 Heisenberg antiferromagnet
Kazumitsu Sakai1, Masahiro Shiroishi, Yoshihiro Nishiyama
1Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan.
Abstract:
We exactly evaluate the third-neighbor correlator S(z)(j)S(z)(j+3) and all the possible nonzero correlators S(alpha)(j)S(beta)(j+1)S(gamma;)(j+2)S(delta)(j+3) of the one-dimensional spin-1/2 Heisenberg XXX antiferromagnet in the ground state without magnetic field. All the correlators are expressed in terms of certain combinations of logarithm ln 2, the Riemann zeta function zeta(3), zeta(5) with rational coefficients. The results accurately coincide with the numerical ones obtained by the density-matrix renormalization group method and the numerical diagonalization.
Related Concept Videos
Atomic Nuclei: Nuclear Spin State Overview
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
Spin–Spin Coupling: One-Bond Coupling
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
The Pauli Exclusion Principle
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
