Continuity equation for the many-electron spectral function
(2023) In Physical Review B 108(11).- Abstract
Starting from the recently proposed dynamical exchange-correlation field framework, the equation of motion of the diagonal part of the many-electron Green function is derived, from which the spectral function can be obtained. The resulting equation of motion takes the form of the continuity equation of charge and current densities in electrodynamics with a source. An unknown quantity in this equation is the divergence of the temporal current density, corresponding to the kinetic energy. A procedure à la Kohn-Sham scheme is then proposed, in which the difference between the kinetic potential of the interacting system and the noninteracting Kohn-Sham system is shifted into the exchange-correlation field. The task of finding a good... (More)
Starting from the recently proposed dynamical exchange-correlation field framework, the equation of motion of the diagonal part of the many-electron Green function is derived, from which the spectral function can be obtained. The resulting equation of motion takes the form of the continuity equation of charge and current densities in electrodynamics with a source. An unknown quantity in this equation is the divergence of the temporal current density, corresponding to the kinetic energy. A procedure à la Kohn-Sham scheme is then proposed, in which the difference between the kinetic potential of the interacting system and the noninteracting Kohn-Sham system is shifted into the exchange-correlation field. The task of finding a good approximation for the exchange-correlation field should be greatly simplified since only the diagonal part is needed. A formal solution to the continuity equation provides an explicit expression for calculating the spectral function, given an approximate exchange-correlation field.
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- author
- Aryasetiawan, F. LU
- organization
- publishing date
- 2023-09-15
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review B
- volume
- 108
- issue
- 11
- article number
- 115110
- publisher
- American Physical Society
- external identifiers
-
- scopus:85172691553
- ISSN
- 2469-9950
- DOI
- 10.1103/PhysRevB.108.115110
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by "https://www.kb.se/samverkan-och-utveckling/oppen-tillgang-och-bibsamkonsortiet/bibsamkonsortiet.html"Bibsam.
- id
- b3fb1bdf-6856-4c98-a42b-0685a7104896
- date added to LUP
- 2024-01-12 11:15:04
- date last changed
- 2024-01-12 11:16:05
@article{b3fb1bdf-6856-4c98-a42b-0685a7104896, abstract = {{<p>Starting from the recently proposed dynamical exchange-correlation field framework, the equation of motion of the diagonal part of the many-electron Green function is derived, from which the spectral function can be obtained. The resulting equation of motion takes the form of the continuity equation of charge and current densities in electrodynamics with a source. An unknown quantity in this equation is the divergence of the temporal current density, corresponding to the kinetic energy. A procedure à la Kohn-Sham scheme is then proposed, in which the difference between the kinetic potential of the interacting system and the noninteracting Kohn-Sham system is shifted into the exchange-correlation field. The task of finding a good approximation for the exchange-correlation field should be greatly simplified since only the diagonal part is needed. A formal solution to the continuity equation provides an explicit expression for calculating the spectral function, given an approximate exchange-correlation field.</p>}}, author = {{Aryasetiawan, F.}}, issn = {{2469-9950}}, language = {{eng}}, month = {{09}}, number = {{11}}, publisher = {{American Physical Society}}, series = {{Physical Review B}}, title = {{Continuity equation for the many-electron spectral function}}, url = {{http://dx.doi.org/10.1103/PhysRevB.108.115110}}, doi = {{10.1103/PhysRevB.108.115110}}, volume = {{108}}, year = {{2023}}, }