A broad range of physical properties (magnetic moments, Curie temperatures, spin-stiffness, residual resistivity, anisotropic magnetoresistance, anomalous Hall effect, and Gilbert damping) of a prototypical spintronics material, namely, epitaxially grown GaMnAs alloys, was determined from first principles. An overall good agreement with recent experiments on well-annealed samples was obtained for all studied quantities. The unique feature of the present study is its complexity and the consistent description of several independent quantities. The full text >>