Fdm. Haldane et Mr. Zirnbauer, EXACT CALCULATION OF THE GROUND-STATE DYNAMICAL SPIN CORRELATION-FUNCTION OF A S=1 2 ANTIFERROMAGNETIC HEISENBERG CHAIN WITH FREE SPINONS/, Physical review letters, 71(24), 1993, pp. 4055-4058
We calculate the exact dynamical magnetic structure factor S(Q, E) in
the ground state of a one-dimensional S = 1/2 antiferromagnet with gap
less free S = 1/2 spinon excitations, the Haldane-Shastry model with i
nverse-square exchange, which is in the same low-energy universality c
lass as Bethe's nearest-neighbor exchange model. Only two-spinon excit
ed states contribute, and S(Q, E) is found to be a very simple integra
l over these states.