FERROMAGNETISM IN (Ga,Mn)As AND (Ga,Mn)N

(Ga,Mn)As and (Ga,Mn)N are so called diluted magnetic semiconductors, i.e. semiconductor based materials made ferromagnetic by inclusion of a magnetic element—in this case Mn. This type of materials bridge over the incompatibilities in metal–semiconductor interfaces in electronics components and have an enormous potential for future spintronics applications, where both charge and spin degrees of freedom can be employed simultaneously. In order to design new—or employ the existing—diluted magnetic semiconductor materials, the underlying mechanisms of magnetism must be understood. In this work a theoretical study of the structural and magnetic properties of the two most important prototype materials, (Ga,Mn)As and (Ga,Mn)N, is presented. Ferromagnetism arises from the quantum mechanical exchange interactions, but is by its very nature a macroscopic ordering effect. Therefore a multiscale approach is employed, beginning from quantum mechanical interactions. Both microscopic configurational energies and corresponding magnetic interactions are calculated from first principles. These energies are used in Monte Carlo simulations to study macroscopic and finite temperature properties. Curie temperatures are estimated using the Weiss molecular field theory, as well as a more sophisticated Monte Carlo approach. We show that both (Ga,Mn)As and (Ga,Mn)N consist largely of Mn clusters, and that the electronic and magnetic properties of these clusters differ significantly from those of single substitutional impurities. For (Ga,Mn)As we also show using lattice kinetic Monte Carlo methods that clustering occurs during growth and annealing via the Ga monovacancy mediated diffusion. For both materials clustering efficiently reduces the Curie temperatures even though the underlying band structure trends are different. The Curie temperatures are estimated for (Ga,Mn)As using the Weiss molecular field theory, while for (Ga,Mn)N we employ Monte Carlo methods in order to obtain the Curie temperatures.