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Exact Dynamics of the SU(K) Haldane-Shastry Model.
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- Yamamoto Takashi
- Max–Planck–Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D–01187 Dresden, Germany
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- Saiga Yasuhiro
- Institute for Solid State Physics, University of Tokyo, Roppongi 7–22–1, Tokyo 106–8666
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- Arikawa Mitsuhiro
- Department of Physics, Tohoku University, Sendai 980–8578
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- Kuramoto Yoshio
- Department of Physics, Tohoku University, Sendai 980–8578
Bibliographic Information
- Other Title
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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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Description
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.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 69 (3), 900-925, 2000
THE PHYSICAL SOCIETY OF JAPAN
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Keywords
Details 詳細情報について
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- CRID
- 1390001204182279424
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- NII Article ID
- 110001971217
- 130004537483
- 210000102793
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- NII Book ID
- AA00704814
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- BIBCODE
- 2000JPSJ...69..900Y
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 5326433
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed