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

TL;DR

This paper investigates how the number of nearest neighbors influences the phase transition from ferromagnetic to paramagnetic states in 2D lattice systems using Monte Carlo simulations of the Ising Model.

Contribution

It demonstrates a direct relationship between the number of neighbors and the critical temperature of phase transition in 2D magnetic lattices.

Findings

Phase transition temperature varies with neighbor count

Transition behavior differs among honeycomb, hexagonal, and square lattices

Monte Carlo results confirm neighbor dependence of magnetic properties

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.