Quantum spin chains in a magnetic field

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 $s=1/2$ 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)=(Δ^2 +v^2 p^2)^{1/2} of the dispersion law.

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

References in corpus (3)

• Magnetization plateau in S=3/2 antiferromagnetic Heisenberg chain with anisotropy
• Monte Carlo Study of Correlations in Quantum Spin Chains at Non-Zero Temperature
• Critical exponent in the magnetization curve of quantum spin chains

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