K. Fabricius et al., DYNAMIC CORRELATIONS OF ANTIFERROMAGNETIC SPIN-1 2 XXZ CHAINS AT ARBITRARY TEMPERATURE FROM COMPLETE DIAGONALIZATION/, Physical review. B, Condensed matter, 55(9), 1997, pp. 5833-5846
All eigenstates and eigenvalues are determined for the spin-1/2 XXZ ch
ain H=2J Sigma(i)((SiSi+1x)-S-x+(SiSi+1y)-S-y+Delta (SiSi+1z)-S-z) for
rings with up to N=16 spins, for anisotropies Delta=0, cos(0.3 pi), a
nd 1. The dynamic spin pair correlations [S-l+n(mu)(t)S-l(mu)], (mu=x,
z), the dynamic structure factors S-mu(q,omega), and the intermediate
structure factors I-mu(q,t) are calculated for arbitrary temperature T
. It is found that for all T, S-z(q,omega) is mainly concentrated on t
he region \omega\<epsilon(2)(q), where epsilon(2)(q) is the upper boun
dary of the two-spinon continuum, although excited states correspondin
g to a much broader frequency spectrum contribute. This is also true f
or the Haldane-Shastry model and the frustrated Heisenberg model. The
intermediate structure factors I-mu(q,t) for Delta not equal 0 show ex
ponential decay for high T and large q. Within the accessible time ran
ge, the time-dependent spin-correlation functions do not display the l
ong-time signatures of spin diffusion.