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Exact dynamical structure factor of the degenerate haldane-shastry model
1Max-Planck-Institut fur Physik komplexer Systeme, Nothnizer Strasse 38, D-01187 Dresden, Germany.
Physical Review Letters
|October 4, 2000
Abstract:
The dynamical structure factor S(q,omega) of the K-component ( K = 2, 3, 4) spin chain with a 1/r(2) interaction is derived exactly at zero temperature for the arbitrary size of the system. The result is interpreted in terms of a free quasiparticle picture which is a generalization of the spinon picture in the SU(2) case. The excited states consist of K quasiparticles each of which is characterized by a set of K-1 quantum numbers. Divergent singularities of S(q,omega) at the spectral edges are derived analytically. The analytic result is checked numerically for finite systems.