APS » PROLA » Phys. Rev. Lett. » Volume 66 » Issue 25

Phys. Rev. Lett. 66, 3265 - 3268 (1991)

Does the Harris energy functional possess a local maximum at the ground-state density?
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I. J. Robertson and Behnam Farid
Theory of Condensed Matter, Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, United Kingdom

Received 4 December 1990

We prove that for any system, and within the framework of any reasonable local approximation to the Hohenberg-Kohn-Sham exchange-correlation energy functional, the Harris energy functional posseses either a saddle point or a local minimum at a self-consistent ground-state charge density. This invalidates the common suggestion that this functional has a local maximum at this charge density. Some numerical results in support of our arguments are presented.


©1991 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v66/p3265
DOI: 10.1103/PhysRevLett.66.3265
PACS: 71.10.+x, 31.15.+q

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