Emptiness Formation Probability for the One-Dimensional Isotropic XY Model
Statistical Mechanics
2009-11-07 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We study a correlation function for the one-dimensional isotropic model ( 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.
Cite
@article{arxiv.cond-mat/0106062,
title = {Emptiness Formation Probability for the One-Dimensional Isotropic XY Model},
author = {Masahiro Shiroishi and Minoru Takahashi and Yoshihiro Nishiyama},
journal= {arXiv preprint arXiv:cond-mat/0106062},
year = {2009}
}
Comments
20 pages, 7 figures, to be published in J. Phys. Soc. Jpn