Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-06-05
J.Phys.Soc.Jap. 70 (2001) 3535-3543
Physics
Condensed Matter
Statistical Mechanics
20 pages, 7 figures, to be published in J. Phys. Soc. Jpn
Scientific paper
10.1143/JPSJ.70.3535
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.
Nishiyama Yoshihiro
Shiroishi Masahiro
Takahashi Minoru
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