English

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

Strongly Correlated Electrons 2009-10-31 v1 High Energy Physics - Theory Representation Theory Exactly Solvable and Integrable Systems solv-int

Abstract

The dynamical structure factor S(q,ω)S(q,\omega) 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)S(q,\omega) 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)S(q,\omega) is nonzero, S(q,ω)S(q,\omega) shows the power-law singularity. It is found that the divergent singularity occurs only in the lowest edges starting from (q,ω)=(0,0)(q,\omega) = (0,0) toward positive and negative q. The analytic result is checked numerically for finite systems via exact diagonalization and recursion methods.

Keywords

Cite

@article{arxiv.cond-mat/9912272,
  title  = {Exact Dynamics of the SU(K) Haldane-Shastry Model},
  author = {Takashi Yamamoto and Yasuhiro Saiga and Mitsuhiro Arikawa and Yoshio Kuramoto},
  journal= {arXiv preprint arXiv:cond-mat/9912272},
  year   = {2009}
}

Comments

35 pages, 3 figures, youngtab.sty (version 1.1)