Properties of periodic Hartree-Fock minimizers

Marco Ghimenti; Mathieu Lewin

doi:10.1007/s00526-008-0196-z

Properties of periodic Hartree-Fock minimizers

Marco Ghimenti
, Mathieu Lewin

University of Pisa
CY Cergy Paris Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

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 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.

langue originale	Anglais
Pages (de - à)	39-56
Nombre de pages	18
journal	Calculus of Variations and Partial Differential Equations
Volume	35
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s00526-008-0196-z
état	Publié - 1 mai 2009
Modification externe	Oui

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10.1007/s00526-008-0196-z

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Properties of periodic Hartree-Fock minimizers

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