Abstract:

Time-dependent density functional generally suffers from an ultra-nonlocality problem, namely the local density approximation for the exchange-correlation potential always fails, no matter how slowly varying is the density. I show that this problem is particularly severe in time-dependent spin density functional theory, but can be cured by switching to a formulation in which the spin currents are the basic variables. I discuss the physical significance of the new terms that appear in the spin-current dependent functional, and review the progress that has been made in providing explicit expressions for the latter.
 
 
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