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Hauptverfasser: Cances, Eric, Levitt, Antoine, Thomas, Jack
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2506.09595
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author Cances, Eric
Levitt, Antoine
Thomas, Jack
author_facet Cances, Eric
Levitt, Antoine
Thomas, Jack
contents We study the decay of the interatomic force constants (equivalently, the smoothness properties of the dynamical matrix) in perfect crystals both at finite electronic temperature, and for insulators at zero temperature, within the reduced Hartree-Fock approximation (also called Random Phase Approximation). At finite temperature the electrons are mobile, leading to exponential decay of the force constants. In insulators, there is incomplete screening, leading to an algebraic decay of dipole-dipole interaction type.
format Preprint
id arxiv_https___arxiv_org_abs_2506_09595
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Decay of Interatomic Force Constants in the Reduced Hartree-Fock Model
Cances, Eric
Levitt, Antoine
Thomas, Jack
Mathematical Physics
We study the decay of the interatomic force constants (equivalently, the smoothness properties of the dynamical matrix) in perfect crystals both at finite electronic temperature, and for insulators at zero temperature, within the reduced Hartree-Fock approximation (also called Random Phase Approximation). At finite temperature the electrons are mobile, leading to exponential decay of the force constants. In insulators, there is incomplete screening, leading to an algebraic decay of dipole-dipole interaction type.
title Decay of Interatomic Force Constants in the Reduced Hartree-Fock Model
topic Mathematical Physics
url https://arxiv.org/abs/2506.09595