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

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

Research output: Contribution to journalArticle

31 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, Section A: General, Atomic and Solid State Physics
Volume312
Issue number1-2
DOIs
Publication statusPublished - Jun 2 2003

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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