Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains

Abstract

We report our density matrix renormalization-group and analytical work on S=1 antiferromagnetic Heisenberg spin chains. We study the finite size behavior within the framework of the non-linear sigma model. We study the effect of magnon-magnon interactions on the finite size spectrum and on the magnetization curve close to the critical magnetic field, determine the magnon scattering length and compare it to the prediction from the non-linear $\sigma$ model.

28 pages, 8 figures, made substantial improvements

References in corpus (3)

• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Quantum spin chains in a magnetic field
• A note on density correlations in the half-filled Hubbard model

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• Finite Size Scaling at the Topological Transition: Bilinear-Biquadratic Spin-1 Chain
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