Competition of exchange and dipole-dipole magnetic interaction in two-dimensional systems

We implemented the Metropolis algorithm for the 2D Ising model to study the competition between exchange-coupling and dipole-dipole interactions in a two-dimensional magnetic spin lattice system. Magnetization, specific heat, and magnetic susceptibility were calculated as functions of temperature for systems both with and without dipolar interactions. The inclusion of dipolar interactions suppressed magnetization and shifted the critical temperature. Our goal is to investigate whether, in the presence of disorder, this competition could potentially lead to frustration and spin glass behavior.