MISC

2003年6月

Asymptotic behavior of the emptiness formation probability in the critical phase of XXZ spin chain

PHYSICS LETTERS A
  • VE Korepin
  • ,
  • S Lukyanov
  • ,
  • Y Nishiyama
  • ,
  • M Shiroishi

312
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
DOI
https://doi.org/10.1016/S0375-9601(03)00616-9
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000183213900005&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/S0375-9601(03)00616-9
  • ISSN : 0375-9601
  • Web of Science ID : WOS:000183213900005

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