Screening in the finite-temperature reduced Hartree-Fock model
Mathematical Physics
2020-07-28 v2 Materials Science
math.MP
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.
Cite
@article{arxiv.1810.03342,
title = {Screening in the finite-temperature reduced Hartree-Fock model},
author = {Antoine Levitt},
journal= {arXiv preprint arXiv:1810.03342},
year = {2020}
}