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Robert van Leeuwen mentioned to us a number of important references, discussing related problems in solid state. These papers [e.g. Gonze, Ghosez, Godby, Phys. Rev. Lett. 74, 4035-8 (1995)] discuss Density Functional Polarization Theory, and the possibility of an "xc electric field" arising in vxc. The possibility of such a linear term in vxc was shown through a calculation on a model system with a model Hamiltonian.

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