Extended scaling for ferromagnetic Ising models with zero-temperature transitions

Details Extended scaling for ferromagnetic Ising models with zero-temperature transitions Extended scaling for ferromagnetic Ising models with zero-temperature transitions

2008-09-06

arxiv.org/abs/0809.1161v2

Phys. Rev. B 78, 184409 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 8 figures, 1 table

Scientific paper

10.1103/PhysRevB.78.184409

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.

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