Screening in the finite-temperature reduced Hartree-Fock model - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Archive for Rational Mechanics and Analysis Year : 2020

Screening in the finite-temperature reduced Hartree-Fock model

Abstract

We prove the existence of solutions of the reduced Hartree-Fock equations at finite temperature for a periodic crystal with a small defect, and show total screening of the defect charge by the electrons. We also show the convergence of the damped self-consistent field iteration using Kerker preconditioning to remove charge sloshing. As a crucial step of the proof, we define and study the properties of the dielectric operator.
Fichier principal
Vignette du fichier
scf.pdf (387.81 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01889411 , version 1 (06-10-2018)
hal-01889411 , version 2 (15-07-2020)

Identifiers

Cite

Antoine Levitt. Screening in the finite-temperature reduced Hartree-Fock model. Archive for Rational Mechanics and Analysis, 2020, 238 (2), pp.901-927. ⟨10.1007/s00205-020-01560-0⟩. ⟨hal-01889411v2⟩
113 View
177 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More