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Quasiparticle wave function and its equation of motion

Aryasetiawan, F. LU and Karlsson, K. LU (2025) In Physical Review B 111(7).
Abstract

The quasiparticle wave function of a many-electron system is traditionally defined as the eigenfunction of the quasiparticle eigenvalue equation involving the self-energy. In this article a different concept of a quasiparticle wave function is derived from the general definition of the Green's function without reference to self-energy. The proposed quasiparticle wave function can decay in time, and in contrast to the traditional one it contains not only the main quasiparticle mode but also other modes due to coupling to collective excitations in the system. In the recently developed dynamical exchange-correlation potential formalism, this definition of a quasiparticle wave function leads to an equation of motion with an effective field,... (More)

The quasiparticle wave function of a many-electron system is traditionally defined as the eigenfunction of the quasiparticle eigenvalue equation involving the self-energy. In this article a different concept of a quasiparticle wave function is derived from the general definition of the Green's function without reference to self-energy. The proposed quasiparticle wave function can decay in time, and in contrast to the traditional one it contains not only the main quasiparticle mode but also other modes due to coupling to collective excitations in the system. In the recently developed dynamical exchange-correlation potential formalism, this definition of a quasiparticle wave function leads to an equation of motion with an effective field, which appears to have a simple form expected to be amenable to realistic approximations. A simple model for the effective potential is proposed which is suitable for materials whose valence electrons are dominated by itinerant s-p electrons such as simple metals.

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Contribution to journal
publication status
published
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in
Physical Review B
volume
111
issue
7
article number
075139
publisher
American Physical Society
external identifiers
  • scopus:85218351430
ISSN
2469-9950
DOI
10.1103/PhysRevB.111.075139
language
English
LU publication?
yes
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Publisher Copyright: © 2025 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
120e3ff1-9e28-4581-abf4-33be4ba73de1
date added to LUP
2025-06-23 13:03:22
date last changed
2025-06-23 13:04:00
@article{120e3ff1-9e28-4581-abf4-33be4ba73de1,
  abstract     = {{<p>The quasiparticle wave function of a many-electron system is traditionally defined as the eigenfunction of the quasiparticle eigenvalue equation involving the self-energy. In this article a different concept of a quasiparticle wave function is derived from the general definition of the Green's function without reference to self-energy. The proposed quasiparticle wave function can decay in time, and in contrast to the traditional one it contains not only the main quasiparticle mode but also other modes due to coupling to collective excitations in the system. In the recently developed dynamical exchange-correlation potential formalism, this definition of a quasiparticle wave function leads to an equation of motion with an effective field, which appears to have a simple form expected to be amenable to realistic approximations. A simple model for the effective potential is proposed which is suitable for materials whose valence electrons are dominated by itinerant s-p electrons such as simple metals.</p>}},
  author       = {{Aryasetiawan, F. and Karlsson, K.}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{02}},
  number       = {{7}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Quasiparticle wave function and its equation of motion}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.111.075139}},
  doi          = {{10.1103/PhysRevB.111.075139}},
  volume       = {{111}},
  year         = {{2025}},
}