Extended scaling for ferromagnetic Ising models with zero-temperature transitions

Abstract

We study the second-moment correlation length and the reduced susceptibility of two ferromagnetic Ising models with zero-temperature ordering. By introducing a scaling variable motivated by high-temperature series expansions, we are able to scale data for the one-dimensional Ising ferromagnet rigorously over the entire temperature range. Analogous scaling expressions are then applied to the two-dimensional fully frustrated Villain model where excellent finite-size scaling over the entire temperature range is achieved. Thus we broaden the applicability of the extended scaling method to Ising systems having a zero-temperature critical point.

8 pages, 8 figures, 1 table

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Cited by in corpus (6)

• Extended Scaling in High Dimensions
• An extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
• The bimodal and Gaussian Ising Spin Glasses in dimension two revisited
• Ising spin glasses in dimension two; universality and non-universality
• Longitudinal-field fidelity susceptibility analysis of the $J_1$-$J_2$ transverse-field Ising model around $J_2/J_1\approx 0.5$
• Susceptibility of the one-dimensional Ising model: is the singularity at T = 0 an essential one?