Updated tests of scaling and universality for the spin-spin correlations in the 2D and 3D spin-S Ising models using high-temperature expansions

Abstract

We have extended, from order 12 through order 25, the high-temperature series expansions (in zero magnetic field) for the spin-spin correlations of the spin-S Ising models on the square, simple-cubic and body-centered-cubic lattices. On the basis of this large set of data, we confirm accurately the validity of the scaling and universality hypotheses by resuming several tests which involve the correlation function, its moments and the exponential or the second-moment correlation-lengths.

21 pages, 8 figures

Cited by in corpus (7)

• The ϕ_3^4 lattice field theory viewed from the high-temperature side
• Specific heat of the simple-cubic Ising model
• Extended Scaling for the high dimension and square lattice Ising Ferromagnets
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Spin-s Spin-Glass Phases in the d=3 Ising Model
• Ising spin glasses in dimension two; universality and non-universality
• Ising models on the hydrogen peroxide and other lattices