Abstract
The novel density-polarization-functional theory proposed by Gonze et al. [Phys. Rev. Lett. 74, 4035 (1995)] addresses the electronic ground state of a macroscopic dielectric, with or without an applied external field. In a crystalline system the exchange-correlation energy per cell may have a dependence on macroscopic polarization, in addition to the one on the periodic density. I prove that whenever this happens, the many-body electronic wave function displays long-range correlation.

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