Influence of long-range interactions on the critical behavior of the Ising model

Understand

We study the ferromagnetic Ising model with long-range interactions in two dimensions.

• We first present results of a Monte Carlo study which shows that the long-range interactions dominate over the short-range ones in the intermediate regime of interaction range.
• Based on a renormalization group analysis, we propose a way of computing the influence of the long-range interactions as a dimensional change.