Non-adiabaticity from first principles: the exact-factorization approach for solids

Fuente: arXiv
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Autores principales: Cohen, Galit, Steinitz-Eliyahu, Rachel, Gross, E. K. U., Refaely-Abramson, Sivan, Requist, Ryan
Formato: Preprint
Publicado: 2025
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author Cohen, Galit
Steinitz-Eliyahu, Rachel
Gross, E. K. U.
Refaely-Abramson, Sivan
Requist, Ryan
author_facet Cohen, Galit
Steinitz-Eliyahu, Rachel
Gross, E. K. U.
Refaely-Abramson, Sivan
Requist, Ryan
contents The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many physical phenomena, it is limited in its ability to capture meaningful features originating from non-adiabatic coupling effects. The exact factorization method, starting from the full Hamiltonian of electrons and nuclei, provides a way to systematically account for non-adiabatic effects. This formalism was recently developed into an ab initio density functional theory framework. Within this framework we here develop a perturbative approach to the electronic states in solid state materials. We derive exact-factorization-based perturbations of the Kohn-Sham states up to second order in the nuclear displacements. These non-adiabatic features in the calculated energy and wavefunction corrections are expressed in terms of readily available density functional perturbation theory components.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07439
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-adiabaticity from first principles: the exact-factorization approach for solids
Cohen, Galit
Steinitz-Eliyahu, Rachel
Gross, E. K. U.
Refaely-Abramson, Sivan
Requist, Ryan
Materials Science
The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many physical phenomena, it is limited in its ability to capture meaningful features originating from non-adiabatic coupling effects. The exact factorization method, starting from the full Hamiltonian of electrons and nuclei, provides a way to systematically account for non-adiabatic effects. This formalism was recently developed into an ab initio density functional theory framework. Within this framework we here develop a perturbative approach to the electronic states in solid state materials. We derive exact-factorization-based perturbations of the Kohn-Sham states up to second order in the nuclear displacements. These non-adiabatic features in the calculated energy and wavefunction corrections are expressed in terms of readily available density functional perturbation theory components.
title Non-adiabaticity from first principles: the exact-factorization approach for solids
topic Materials Science
url https://arxiv.org/abs/2502.07439