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 autocorrelation time is rather insensitive to the value of H at low temperature. Magnetization curves for the $s=1/2$ and $s=1$ 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)=(Δ²+v²p²)1/2 of the dispersion law.
No takes yet. Share an insight, caveat, or question.
Kashurnikov et al. (1999) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: