Finite temperature structure factor in the Haldane-Shastry spin chain

Details Finite temperature structure factor in the Haldane-Shastry spin chain Finite temperature structure factor in the Haldane-Shastry spin chain

2003-02-17

arxiv.org/abs/cond-mat/0302333v2

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 3 figures

Scientific paper

10.1088/0305-4470/36/26/302

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.

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