Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains

Details Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains

2011-04-19

arxiv.org/abs/1104.3633v2

Phys. Rev. B 84, 054446 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 3 figures, 1 table, accepted in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.84.054446

Low-lying magnon dispersion in a S=1 Heisenberg antiferromagnetic (AF) chain is analyzed using the non-Abelian DMRG method. The scattering length $a_{\rm b}$ of the boundary coupling and the inter-magnon scattering length $a$ are determined. The scattering length $a_{\rm b}$ is found to exhibit a characteristic diverging behavior at the crossover point. In contrast, the Haldane gap $\Delta$, the magnon velocity $v$, and $a$ remain constant at the crossover. Our method allowed estimation of the gap of the S=2 AF chain to be $\Delta = 0.0891623(9)$ using a chain length longer than the correlation length $\xi$.

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