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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.
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Dates and versions

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

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Cite

Antoine Levitt. Screening in the finite-temperature reduced Hartree-Fock model. Archive for Rational Mechanics and Analysis, In press. ⟨hal-01889411v1⟩
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