Extended scaling for ferromagnetic Ising models with zero-temperature transitions Academic Article uri icon

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. © 2008 The American Physical Society.

author list (cited authors)

  • Katzgraber, H. G., Campbell, I. A., & Hartmann, A. K.

citation count

  • 3

publication date

  • November 2008