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

2016/10/02 by Saeed Rahmanian Koshkaki, Koshkaki, Saeed Rahmanian
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1610.00359

4 pages, 6 images

openalex publication_date 2016/10/02 · arxiv created 2016/11/10 · arxiv updated 2016/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The electronic properties of graphene
• Two-dimensional atomic crystals

Related

• Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet
• Phase Transitions of Random Binary Magnetic Square Lattice Ising Systems
• Multimagnetical Simulations
• Monte Carlo studies of the Ising square lattice with competing interactions
• Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions