Correlation amplitude for S=1/2 XXZ spin chain in the critical region
Statistical Mechanics
2009-10-31 v3 Strongly Correlated Electrons
Exactly Solvable and Integrable Systems
solv-int
Abstract
The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200 spins are analyzed by comparing them with correlation functions calculated from a low-energy field theory. This gives precise estimates of the amplitudes of the correlation functions in the thermodynamic limit. The exact amplitude recently conjectured by Lukyanov and Zamolodchikov and the logarithmic correction in the Heisenberg model are confirmed numerically.
Keywords
Cite
@article{arxiv.cond-mat/9803159,
title = {Correlation amplitude for S=1/2 XXZ spin chain in the critical region},
author = {T. Hikihara and A. Furusaki},
journal= {arXiv preprint arXiv:cond-mat/9803159},
year = {2009}
}
Comments
4 pages, 3 figures, final version