We present a comprehensive study on the low-temperature orthorhombic phase of
Ba(Fe1−xCox)2As2 based on the Korringa-Kohn-Rostoker-Green
function approach. Using this bandstructure method in combination with the
coherent potential approximation alloy theory we are able to investigate the
evolution of the magnetic and electronic properties of this prototype iron
pnictide for arbitrary concentrations x, while dealing with the chemical
disorder without uncontrolled simplifications by using solely a rigid band
shift or the virtual crystal approximation. We discuss the development of the
site resolved magnetic moments for the experimentally observed stripe
antiferromagnetic order together with the strong electronic anisotropy of the
Fermi surface and compare it with angle-resolved photoemission spectroscopy
measurements of detwinned crystals. We furthermore calculate magnetic exchange
coupling parameters Jij and use them for Monte-Carlo simulations on the
basis of the classical Heisenberg model to get an insight on the temperature
dependence of the magnetic ordering on the cobalt concentration