Exact dynamics of the SU(K) Haldane-Shastry model

Takashi Yamamoto, Yasuhiro Saiga, Mitsuhiro Arikawa, Yoshio Kuramoto

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


The dynamical structure factor S(q, ω) of the SU(K) (K = 2, 3, 4) Haldane-Shastry model is derived exactly at zero temperature for arbitrary size of the system. The result is interpreted in terms of free quasi-particles which are generalization of spinons in the SU(2) case; the excited states relevant to S(q, ω) consist of K quasi-particles each of which is characterized by a set of K - 1 quantum numbers. Near the boundaries of the region where S(q, ω) is nonzero, S(q, ω) shows the power-law singularity. It is found that the divergent singularity occurs only in the lowest edges starting from (q, ω) = (0, 0) toward positive and negative q. The analytic result is checked numerically for finite systems via exact diagonalization and recursion methods.

Original languageEnglish
Pages (from-to)900-925
Number of pages26
Journaljournal of the physical society of japan
Issue number3
Publication statusPublished - 2000 Mar
Externally publishedYes


  • Dynamical structure factor
  • Fractional statistics
  • Orbital degeneracy
  • SU(K) Haldane-Shastry model
  • Spinon
  • U(K) spin Calogero-Sutherland model

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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