### Abstract

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 language | English |
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Pages (from-to) | 900-925 |

Number of pages | 26 |

Journal | journal of the physical society of japan |

Volume | 69 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2000 Mar |

### Keywords

- 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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## Cite this

*journal of the physical society of japan*,

*69*(3), 900-925. https://doi.org/10.1143/JPSJ.69.900