Multirange Ising model on the square lattice

26 May 2020 Amaral Charles S. do de Lima B. N. B. Dickman Ronald Atman A. P. F.

We study the Ising model on $\mathbb{Z}^{2}$ and show, via numerical simulation, that allowing interactions between spins separated by distances $1$ and $m$ (two ranges), the critical temperature, $T_c (m)$, converges monotonically to the critical temperature of the Ising model on $\mathbb{Z}^4$ as $m \to \infty$. Only interactions between spins located in directions parallel to each coordinate axis are considered... (read more)

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