Emptiness Formation Probability for the One-Dimensional Isotropic XY Model

Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama

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We study a correlation function for the one-dimensional isotropic XY model (XX0 model), which is called the Emptiness Formation Probability (EFP). It is the probability of the formation of a ferromagnetic string in the anti-ferromagnetic ground state. Using the expression of the EFP as a Toeplitz determinant, we discuss its asymptotic behaviors. We also compare the analytical results with numerical calculations as the density-matrix renormalization group and the quantum Monte-Carlo method.

Original languageEnglish
Pages (from-to)3535-3543
Number of pages9
JournalJournal of the Physical Society of Japan
Issue number12
Publication statusPublished - Dec 2001



  • DMRG method
  • Emptiness formation probability
  • Finite temperature
  • Isotropic XY model
  • QMC method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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