2003年6月
Asymptotic behavior of the emptiness formation probability in the critical phase of XXZ spin chain
PHYSICS LETTERS A
- ,
- ,
- ,
- 巻
- 312
- 号
- 1-2
- 開始ページ
- 21
- 終了ページ
- 26
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1016/S0375-9601(03)00616-9
- 出版者・発行元
- ELSEVIER SCIENCE BV
We study the emptiness formation probability (EFP) for the spin 1/2 XXZ spin chain. EFP P(n) detects a formation of ferromagnetic string of the length n in the ground state. It is expected that EFP decays in a Gaussian way for large strings P(n) similar to n(-gamma) C-n<^>2. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent gamma. In order to confirm the validity of our formulas, we employed an ab initio simulation technique of the density-matrix renormalization group to simulate XXZ spin chain of sufficient length. Furthermore, we performed Monte Carlo integration of the Jimbo-Miwa multiple integral for P (n). Those numerical results for P (n) support our formulas fairly definitely. (C) 2003 Elsevier Science B.V. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/S0375-9601(03)00616-9
- ISSN : 0375-9601
- Web of Science ID : WOS:000183213900005