Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
Journal of Statistical Mechanics: Theory and Experiment 2012 巻
P01007- 頁
2012-01-16 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
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| 作成者 |
Caux Jean-Sébastien
Konno Hitoshi
Sorrell Mark
Weston Robert
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| 収録物名 |
Journal of Statistical Mechanics: Theory and Experiment
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| 巻 | 2012 |
| 開始ページ | P01007 |
| 抄録 |
We consider the XXZ quantum spin chain in its massless, disordered regime at zero field. We derive an exact expression for the two-spinon form-factor of Sz = 1/2σz by taking a limit of the massive XYZ form-factors found by Lashkevich and by Lukyanov and Terras. This result is used to find the two-spinon contribution to the spectral decomposition of the longitudinal structure factor Szz(k, w). We find that this contribution provides an accurate approximation to the full structure factor over a wide range of the anisotropy parameter. The asymptotic behaviour of Szz(k, w) is computed as the upper and lower w thresholds of the two-spinon (w, k) band are approached, and an analysis of the region of validity of this threshold behaviour is performed. Our results reproduce and refine existing threshold behaviour predictions and extend these results to an accurate description throughout the two-spinon continuum.
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| NDC分類 |
物理学 [ 420 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
IOP Publishing Ltd
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| 発行日 | 2012-01-16 |
| 権利情報 |
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
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| 出版タイプ | Author’s Original（十分な品質であるとして、著者から正式な査読に提出される版） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 1742-5468
[DOI] 10.1088/1742-5468/2012/01/P01007
[DOI] https://doi.org/10.1088/1742-5468/2012/01/P01007
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