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

References in corpus (3)

• Correlation length of the two-dimensional Ising spin glass with bimodal interactions
• Effective critical behavior of the two-dimensional Ising spin glass with bimodal interactions
• Data collapse in the critical region using finite-size scaling with subleading corrections