Finite temperature structure factor in the Haldane-Shastry spin chain

Abstract

The Haldane-Shastry spin chain can be mapped to the infinite coupling limit of the SU(2) spin Calogero-Sutherland model. We use the ${\mathfrak{gl}}_2$ Jack polynomials' technology to compute the form factors of the spin operator on the multi-spinon spectrum. The spin structure factor is obtained through a form factor expansion. The expansion is proven to converge in the small momentum limit. Numerics based on two- and four-spinons contributions give an approximate result for the infinite temperature static and dynamic spin structure factor.

14 pages, 3 figures

References in corpus (6)

• Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
• Finite temperature correlation functions from form factors
• On the Finite Temperature Formalism in Integrable Quantum Field Theories
• Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
• One-point functions in integrable quantum field theory at finite temperature
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Cited by in corpus (2)

• Many-spinon states and the secret significance of Young tableaux
• Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field