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Exact Dynamics of the SU(K) Haldane-Shastry Model | | Takashi Yamamoto
; Yasuhiro Saiga
; Mitsuhiro Arikawa
; Yoshio Kuramoto
; | | Date: |
15 Dec 1999 | | Subject: | Strongly Correlated Electrons; Representation Theory; Exactly Solvable and Integrable Systems | cond-mat.str-el hep-th math.RT nlin.SI solv-int | | Abstract: | The dynamical structure factor $S(q,omega)$ 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 $S(q,omega)$ 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 $S(q,omega)$ is nonzero, $S(q,omega)$ shows the power-law singularity. It is found that the divergent singularity occurs only in the lowest edges starting from $(q,omega) = (0,0)$ toward positive and negative q. The analytic result is checked numerically for finite systems via exact diagonalization and recursion methods. | | Source: | arXiv, cond-mat/9912272 | | Services: | Forum | Review | PDF | Favorites | |
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