Examples of Monte Carlo Simulations, for a 32x32 lattice cell with different number of vacancies (appearing here as white dots), that is cooled from high temperature. Orientation of the dipoles is color coded for different directions.

One can see the transition from the disordered, high temperature phase, to a collinear phase, where the dipoles are aligned predominantly along the axes. When the temperature is lowered even further, there is another transition to a microvortex phase, where every four neighboring dipoles form a vortex. In the Monte Carlo simulation this configuration is gauge transformed for clarity and the dipoles appear to be aligned in the same direction, at 45 degree angle with respect to the axes.

Presentations and published papers

• Kinetic Lattice Gas Model for Adsorption, Desorption and Diffusion

• Ordering due to Disorder in Dipolar Magnets on a Two-dimensional Lattice

• Effects of Dilution on the Magnetic Ordering of a Two-dimensional Lattice of Dipolar Magnets

• Effects of Dilution on the Phase Behavior of Antiferromagnetic Ultrathin Magnetic Films

• Example of Monte Carlo simulation of spins interacting with dipolar and antiferromagnetic exchange interactions

• The Role of the Exchange and Dipolar Interactions in the Determination of the Magnetic Ordering of a Two-Dimensional Lattice with Random Vacancies