Is there an attraction between spinons in the Haldane--Shastry model?

Abstract

While the Bethe Ansatz solution of the Haldane--Shastry model appears to suggest that the spinons represent a free gas of half-fermions, Bernevig, Giuliano, and Laughlin (BGL) (cond-mat/0011069, cond-mat/0011270) have concluded recently that there is an attractive interaction between spinons. We argue that the dressed scattering matrix obtained with the asymptotic Bethe Ansatz is to be interpreted as the true and physical scattering matrix of the excitations, and hence, that the result by BGL is inconsistent with an earlier result by Essler (cond-mat/9406081). We critically re-examine the analysis of BGL, and conclude that there is no interaction between spinons or spinons and holons in the Haldane--Shastry model.

References in corpus (6)

• Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
• A Note on Dressed S-Matrices in Models with Long-Range Interactions
• Spinon Attraction in Spin-1/2 Antiferromagnetic Chains
• Coordinate Representation of the Two-Spinon wavefunction and Spinon Interaction
• Spinon-Holon Attraction in the Supersymmetric t-J Model with 1/r^2-Interaction
• Coordinate Representation of the One-Spinon One-Holon Wavefunction and Spinon-Holon Interaction

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