2D Ising model with regions without spin

Abstract

The percolation threshold of 2D Ising lattice with a nonmagnetic region was found to change as the ares of this region increases, effectively changing the region with spins from 2D to 1D. These results are found to be consistent with the effective change in dimensionality of the lattice in a previous study that focuses on the change of the system with a critical temperature (2D) to one without (1D).