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

@article{Horita2016UpperAL, 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}, year={2016}, volume={95 1-1}, pages={ 012143 } }

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…

## 27 Citations

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Abstract
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