Quantum spin chains in a magnetic field
Strongly Correlated Electrons
2007-05-23 v2 Statistical Mechanics
Abstract
We demonstrate that the ``worm'' algorithm allows very effective and precise quantum Monte Carlo (QMC) simulations of spin systems in a magnetic field, and its auto-correlation time is rather insensitive to the value of H at low temperature. Magnetization curves for the and chains are presented and compared with existing Bethe ansatz and exact diagonalization results. From the Green function analysis we deduce the magnon spectra in the s=1 system, and directly establish the "relativistic" form E(p)=(\Delta ^2 +v^2 p^2)^{1/2} of the dispersion law.
Cite
@article{arxiv.cond-mat/9802294,
title = {Quantum spin chains in a magnetic field},
author = {V. A. Kashurnikov and N. V. Prokof'ev and B. V. Svistunov and M. Troyer},
journal= {arXiv preprint arXiv:cond-mat/9802294},
year = {2007}
}
Comments
6 pages, 8 figures; removed discussion of spin-2 case - will be published later in a separate paper