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arXiv · 1705.04117

Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets

P. N. Bibikov
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Abstract

Various versions of the Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg-Ising ferromagnets. It is shown that for 2D square (3D qubic) finite-periodic or infinite lattices about a half (3/4) of states have a correctly 2D- (3D-) generalized Bethe form. The remaining scattering states are treated (on the infinite lattices only) within the degenerative discrete-diffractive modification of the Bethe ansatz previously suggested by the author.

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P. N. Bibikov. 2017-05-11. Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets. https://doi.org/10.1088/1742-5468%2Faab84e

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