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Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 2009

Properties of the periodic Hartree-Fock minimizer

Résumé

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, Le Bris and Lions (Ann. Inst. H. Poincare Anal. Non Lineaire 18 (2001), no.6, 687-760). 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.
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Dates et versions

hal-00266413 , version 1 (22-03-2008)

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Marco Ghimenti, Mathieu Lewin. Properties of the periodic Hartree-Fock minimizer. Calculus of Variations and Partial Differential Equations, 2009, 35 (1), pp.39-56. ⟨10.1007/s00526-008-0196-z⟩. ⟨hal-00266413⟩
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