Emptiness Formation Probability for the One-Dimensional Isotropic XY Model

Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

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
Volume70
Issue number12
DOIs
Publication statusPublished - Dec 2001

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determinants
Monte Carlo method
strings
ground state

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Emptiness Formation Probability for the One-Dimensional Isotropic XY Model. / Shiroishi, Masahiro; Takahashi, Minoru; Nishiyama, Yoshihiro.

In: Journal of the Physical Society of Japan, Vol. 70, No. 12, 12.2001, p. 3535-3543.

Research output: Contribution to journalArticle

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