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By merging single-site typical medium theory with density functional theorywe introduce a self-consistent framework for electronic structure calculationsof materials with substitutional disorder which takes into account Andersonlocalization. The scheme and details of the implementation are presented andapplied to the hypothetical alloy Li$_{c}$Be$_{1-c}$, and the results arecompared with those obtained with the coherent potential approximation.Furthermore we demonstrate that Anderson localization suppresses ferromagneticorder for a very low concentration of (i) carbon impurities substituting oxygenin MgO$_{1-c}$C$_{c}$, and (ii) manganese impurities substituting magnesium inMg$_{1-c}$Mn$_c$O for the low-spin magnetic configuration.

Ab initio typical medium theory of substitutional disorder