Ising model on two connected Barabasi-Albert networks.

@article{Suchecki2006IsingMO,
  title={Ising model on two connected Barabasi-Albert networks.},
  author={Krzysztof Suchecki and Janusz A Hołyst},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={74 1 Pt 1},
  pages={
          011122
        }
}
We investigate analytically the behavior of the Ising model on two connected Barabasi-Albert networks. Depending on relative ordering of both networks there are two possible phases corresponding to parallel or antiparallel alignment of spins in both networks. A difference between critical temperatures of both phases disappears in the limit of vanishing inter-network coupling for identical networks. The analytic predictions are confirmed by numerical simulations. 

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