2010/07/15 by Éric Cancès, Eric Cancès, Virginie Ehrlacher +2
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Theoretical and Computational Physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1007.2603
34 pages
arxiv created 2010/07/15 · arxiv updated 2010/07/16
The aim of this article is to propose a mathematical model describing the electronic structure of crystals with local defects in the framework of the Thomas-Fermi-von Weizsäcker (TFW) theory. The approach follows the same lines as that used in \it E. Cancès, A. Deleurence and M. Lewin, Commun. Math. Phys., 281 (2008), pp. 129--177 for the reduced Hartree-Fock model, and is based on thermodynamic limit arguments. We prove in particular that it is not possible to model charged defects within the TFW theory of crystals. We finally derive some additional properties of the TFW ground state electronic density of a crystal with a local defect, in the special case when the host crystal is modelled by a homogeneous medium.