Formation of Stripes and Slabs Near the Ferromagnetic Transition

@article{Giuliani2014FormationOS,
  title={Formation of Stripes and Slabs Near the Ferromagnetic Transition},
  author={Alessandro Giuliani and Elliott H. Lieb and Robert Seiringer},
  journal={Communications in Mathematical Physics},
  year={2014},
  volume={331},
  pages={333-350}
}
We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor ferromagnetic and long-range antiferromagnetic interactions, the latter decaying as (distance)−p, p > 2d, at large distances. If the strength J of the ferromagnetic interaction is larger than a critical value Jc, then the ground state is homogeneous. It has been conjectured that when J is smaller than but close to Jc, the ground state is periodic and striped, with stripes of constant width h = h(J), and h → ∞ as $${J… 

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