Chaotic behavior and incommensurate phases in the anisotropic ising model with competing interactions

Abstract

The mean-field equations of the Ising model with competing interactions are studied by means of an iteration procedure. It is found that the phase diagram consists of regimes with stochastic behavior, indicating a complete "devil's staircase" with pinned configurations only, and analytic regimes where commensurate pinned phases are separated by incommensurate phases with Goldstone modes. © 1981 The American Physical Society.