Abstract
The classically integrable discrete spin model with a logarithmic ferromagnetic nearest-neighbor interaction is semiclassically quantized. The resulting spectrum consists of linear magnons and nonlinear quantum solitons. The lowest soliton branch is identical with the magnon as S→∞; in practice, deviations amount to a maximum of 10% for S = 1. The early termination points in momentum space proposed by Haldane as a result of lattice discreteness are found. The singular case m = 2S is characterized by a logarithmic divergence of the energy at the cutoff wavevector.
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