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Finite-temperature correlation functions of the Haldane-Shastry model

Using numerical diagonalization of small systems we obtain the thermodynamics of the S= 1/2 and S=1 Haldane-Shastry (HS) model. We study the correlation functions and the susceptibility and compare them with the results for the Heisenberg (H) model. We find evidence that in the S=1 case the low-T susceptibility decays exponentially to zero, indicating the existence of a gap, in agreement with our earlier study of the ground-state properties. The correlation functions (Sz(0)Sz(m)) for the HS model decay faster than for the Heisenberg case, with both m and temperature for both values of the spin. For large T all correlation functions for the HS model become negative.