Effect of a magnetic field on the degenerate antiferromagnetic Ising model

Abstract

Using the replica Monte Carlo algorithm, we investigated the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions in the presence of an external magnetic field. The influence of the external magnetic field on the thermodynamic and magnetic properties of this model was studied. Temperature and field dependences of the main thermodynamic parameters were obtained. A phase diagram of the critical temperature as a function of the external magnetic field was constructed for the considered model. The ground-state magnetic structures were determined over a wide range of magnetic fields.