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

V. E. Korepin, S. Lukyanov, Yoshihiro Nishiyama, M. Shiroishi

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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) ∼ n C-n2. Here, we propose the explicit expressions for the rate of Gaussian decay C as well as for the exponent γ. 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.

Original languageEnglish
Pages (from-to)21-26
Number of pages6
JournalPhysics Letters A
Volume312
Issue number1-2
DOIs
Publication statusPublished - Jun 2 2003

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strings
decay
exponents
ground state
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Keywords

  • Asymptotic behaviours
  • Correlation functions
  • Density matrix renormalization
  • Quantum spin chains

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Asymptotic behavior of the emptiness formation probability in the critical phase of XXZ spin chain. / Korepin, V. E.; Lukyanov, S.; Nishiyama, Yoshihiro; Shiroishi, M.

In: Physics Letters A, Vol. 312, No. 1-2, 02.06.2003, p. 21-26.

Research output: Contribution to journalArticle

Korepin, V. E. ; Lukyanov, S. ; Nishiyama, Yoshihiro ; Shiroishi, M. / Asymptotic behavior of the emptiness formation probability in the critical phase of XXZ spin chain. In: Physics Letters A. 2003 ; Vol. 312, No. 1-2. pp. 21-26.
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