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Emptiness Formation Probability for the One-Dimensional Isotropic XY Model

Masahiro Shiroishi·Minoru Takahashi·Yoshihiro Nishiyama
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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.

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Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama. 2001-10-15. Emptiness Formation Probability for the One-Dimensional Isotropic XY Model. https://doi.org/10.1143/jpsj.70.3535

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