Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction.

  title={Upper and lower critical decay exponents of Ising ferromagnets with long-range interaction.},
  author={Toshiki Horita and Hidemaro Suwa and Synge Todo},
  journal={Physical review. E},
  volume={95 1-1},
We investigate the universality class of the finite-temperature phase transition of the two-dimensional Ising model with the algebraically decaying ferromagnetic long-range interaction, J_{ij}=|r[over ⃗]_{i}-r[over ⃗]_{j}|^{-(d+σ)}, where d (=2) is the dimension of the system and σ is the decay exponent, by means of the order-N cluster-algorithm Monte Carlo method. In particular, we focus on the upper and lower critical decay exponents, the boundaries between the mean-field-universality… 

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