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. © 2008 Springer-Verlag.
Ghimenti, M.G., & Lewin, M. (2009). Properties of the periodic Hartree-Fock minimizer. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2009(1), 39-56.
Citazione: | Ghimenti, M.G., & Lewin, M. (2009). Properties of the periodic Hartree-Fock minimizer. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2009(1), 39-56. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Titolo: | Properties of the periodic Hartree-Fock minimizer |
Autori: | Ghimenti, MG; Lewin, M |
Autori: | |
Data di pubblicazione: | 2009 |
Lingua: | English |
Rivista: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00526-008-0196-z |
Appare nelle tipologie: | 01 - Articolo su rivista |