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.

Properties of periodic Hartree–Fock minimizers

GHIMENTI, MARCO GIPO;
2009-01-01

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.
2009
Ghimenti, MARCO GIPO; Lewin, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/127801
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