Exact Dynamics of the SU(K) Haldane-Shastry Model.

  • Yamamoto Takashi
    Max–Planck–Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D–01187 Dresden, Germany
  • Saiga Yasuhiro
    Institute for Solid State Physics, University of Tokyo, Roppongi 7–22–1, Tokyo 106–8666
  • Arikawa Mitsuhiro
    Department of Physics, Tohoku University, Sendai 980–8578
  • Kuramoto Yoshio
    Department of Physics, Tohoku University, Sendai 980–8578

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  • Exact Dynamics of the<i><i>S</i><i>U</i>(<i>K</i>)</i>Haldane-Shastry Model

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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.

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