中文

Quantum spin chains in a magnetic field

强关联电子 2007-05-23 v2 统计力学

摘要

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 s=1/2s=1/2 and s=1s=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)=(\Delta ^2 +v^2 p^2)^{1/2} of the dispersion law.

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引用

@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}
}

备注

6 pages, 8 figures; removed discussion of spin-2 case - will be published later in a separate paper