Critical temperature and magnetic properties of new 2D lattice model with double hexagonal symmetry: Monte Carlo study

Abstract

Here, we present a theoretical study of a new statistical lattice model based on a double hexagonal structure associated with G2 symmetry. Using Monte Carlo simulation, we study the magnetic properties of the Ising-1/2 model with spin values σ = ±1 residing on the sites of our double hexagonal lattice. In particular, we calculate and analyze the thermal behavior of the total and partial magnetizations as well as the corresponding susceptibilities for different lattice sizes. The present study shows that the total and partial magnetizations vanish at the same critical temperature. This vanishing is continuous, indicating that the type of the transition is a second order. With the help of the finite-size scaling analysis, we estimate the critical transition temperature related to the uniform coupling interaction value equals one. Our findings reflect a good estimation of the critical temperature, TC that is equal to 2.976∓0.004JkB. The obtained critical temperature of our presented model can be found between the critical temperatures of hexagonal and triangular lattice models.