Study of the effect of nearest neighbors on ferromagnetic to paramagnetic phase transition in 2D lattices by Monte Carlo algorithm

Abstract

In this work we try to use the Monte Carlo algorithm, metropolis, to study the behavior of 2D magnetic systems; honeycomb, hexagonal and square lattices. In this study we use Ising Model of magnetism, with considering only nearest neighbors in the Hamiltonian and with the Ferromagnetic correlation constant. The code was written in Payton. In this calculation, by comparing the results obtained for all lattices, we will show that the paramagnetic to ferromagnetic phase transition depends on the number of neighbor and it is a direct dependence.