Pré-Publication, Document De Travail Année : 2025

Excited States of the Uniform Electron Gas

Résumé

The uniform electron gas (UEG) is a cornerstone of density-functional theory (DFT) and the foundation of the local-density approximation (LDA), one of the most successful approximations in DFT. In this work, we extend the concept of UEG by introducing excited-state UEGs, systems characterized by a gap at the Fermi surface created by the excitation of electrons near the Fermi level. We report closed-form expressions of the reduced kinetic and exchange energies of these excited-state UEGs as functions of the density and the gap. Additionally, we derive the leading term of the correlation energy in the high-density limit. By incorporating an additional variable representing the degree of excitation into the UEG paradigm, the present work introduces a new framework for constructing local and semi-local state-specific functionals for excited states.
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Dates et versions

hal-04929937 , version 1 (05-02-2025)

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Pierre-François Loos. Excited States of the Uniform Electron Gas. 2025. ⟨hal-04929937⟩
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