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Continuity equation for the many-electron spectral function

Aryasetiawan, F. LU (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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Please use this url to cite or link to this publication:
author
organization
publishing date
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}},
}