Properties of periodic Hartree-Fock minimizers

Marco Ghimenti; Mathieu Lewin

doi:10.1007/s00526-008-0196-z

Properties of periodic Hartree-Fock minimizers

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Abstract

We study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto et al. (Ann Inst H Poincaré Anal Non Linéaire 18(6):687-760, 2001). We prove in this paper that any minimizer is necessarily a projector and that it solves a certain nonlinear equation, similarly to the atomic case. In particular we show that the Fermi level is either empty or totally filled.

Original language	English
Pages (from-to)	39-56
Number of pages	18
Journal	Calculus of Variations and Partial Differential Equations
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/s00526-008-0196-z
Publication status	Published - 1 May 2009
Externally published	Yes

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

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Properties of periodic Hartree-Fock minimizers

Abstract

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