Monte Carlo investigation of phase changes and the order of transition of Ising modeled single-walled nanotube

Abstract

We present the Monte-Carlo analysis report for the magnetic response of the single-walled nanotube using the Metropolis and Wang Landau algorithms. Our nanotube architecture uses the spin half Ising model with nearest neighbors interaction. We find the phase changes from ferromagnetic/anti ferromagnetic to paramagnetic by modifying the system interaction parameters. We determine the transition temperatures for varying interaction strength in the absence of the magnetic field. We find the transition temperature changes with the external magnetic field for a fixed interaction strength. Our study confirmed that the transition from ferromagnetic/anti ferromagnetic to paramagnetic is second order.