Investigation of Ising model on square lattice with the effect of Second nearest neighbour interaction

We have investigated Ising like system on two dimensional square lattice with the effect of second nearest neighbour interactions. This system represents ferromagnetic material and it analyzed by Monte-Carlo technique. We have allowed the system to evolve under the Metropolis algorithm (Boltzmann technique) and the thermodynamic observables were calculated. The density of states also determined by using the Wang-Landau algorithm which is typically a non-Boltzmann Monte-Carlo technique. The thermodynamic observables were computed from the converged density of states. The transition temperature found to be changed when the second nearest neighbour was altered. The calculated density of states, average energy (internal energy) and the specific heat capacity have been plotted and discussed.