Two-magnon problem in linear anisotropic spin chains with an arbitrary radius of interaction

G. Georgiev and N. Milev

Physica A: Statistical Mechanics and its Applications, 1978, vol. 92, issue 3, 379-390

Abstract: Bound two-magnon states cannot exist in the X Y-spin model with an arbitrary radius of bilinear exchange interaction, S ⪖ 12. In the Ising model with bilinear and biquadratic interaction, however, as well as in every anisotropic model at κ = π, the bound states number is n + 1 (n at S = 12), where n is the number of the Z Z interacting neighbours. In every anisotropic model with nearest-neighbour X Y interaction only the bound states number at different points of the Brillouin zone is not greater than n + 1.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:92:y:1978:i:3:p:379-390

DOI: 10.1016/0378-4371(78)90138-3

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