Density functional theory magnetization-dependent form

After insertion of (103) Eqs.(99)-(102) are immediately identified as the direct relativistic extension of the standard two-component form of nonrelativistic spin-density functional theory. This suggests the application of nonrelativistic spin-density functionals Exc[npn with replaced by in Eq.(102), thus neglecting the relativistic contributions to the dependence of Exc[n, n ] on With this approximation Eqs.(99)-(102) represent the standard RDFT approach to magnetic systems. 

Current Density Functional Theory (CDFT). - The Kohn-Sham density functional expression has to be modified when magnetic fields are present so that the density functional depends on the paramagnetic current density. A local exchange-correlation term then has the form... 

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