Exact dynamical structure factor of the degenerate Haldane-Shastry model

Details Exact dynamical structure factor of the degenerate Haldane-Shastry model Exact dynamical structure factor of the degenerate Haldane-Shastry model

1999-12-14

arxiv.org/abs/cond-mat/9912244v1

Phys.Rev.Lett. 84 (2000) 1308-1311

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.1308

The dynamical structure factor $S(q,\omega)$ of the K-component (K = 2,3,4) spin chain with the 1/r^2 exchange is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of a free quasi-particle picture which is generalization of the spinon picture in the SU(2) case; the excited states consist of K quasi-particles 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.

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