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Magnon-phonon interaction and the underlying role of the Pauli exclusion principle

Sjöstrand, T. J. LU and Aryasetiawan, F. LU (2022) In Physical Review B 105(1).
Abstract

The magnon-phonon interaction is receiving growing attention due to its key role in spin caloritronics and the emerging field of acoustic spintronics. At resonance, this magnetoelastic interaction forms magnon polarons, which underpin exotic phenomena such as magnonic heat currents and phononic spin, but is mostly investigated using mesoscopic spin-lattice models. Motivated to integrate the magnon-phonon interaction into first-principles many-body electronic structure theory, we set out to derive the exchange contribution, which is subtler than the spin-orbit contribution, using Schwinger functional derivatives. To avoid having to solve the famous Hedin-Baym equations self-consistently, the phonons are treated as perturbations to the... (More)

The magnon-phonon interaction is receiving growing attention due to its key role in spin caloritronics and the emerging field of acoustic spintronics. At resonance, this magnetoelastic interaction forms magnon polarons, which underpin exotic phenomena such as magnonic heat currents and phononic spin, but is mostly investigated using mesoscopic spin-lattice models. Motivated to integrate the magnon-phonon interaction into first-principles many-body electronic structure theory, we set out to derive the exchange contribution, which is subtler than the spin-orbit contribution, using Schwinger functional derivatives. To avoid having to solve the famous Hedin-Baym equations self-consistently, the phonons are treated as perturbations to the electronic structure. A formalism based on imposing a crossing-symmetric electron-electron interaction is developed in order to treat charge and spin on equal footing to respect the Pauli exclusion principle. Due to spin conservation, the magnon-phonon interaction first enters to second order through the magnon-magnon interaction, which renormalizes the magnons. We show by iteration that the magnon-magnon interaction contains a "screened T matrix"term and an arguably more important term which, in the local-spin limit, enables first-principles phonon emission and absorption amplitudes, predicted by phenomenological magnetoelastic models. These terms are, respectively, of first and second order in the screened collective four-point interaction W-a crossing-symmetric analog of Hedin's W. Proof-of-principle results are presented at varying temperatures for an isotropic magnon spectrum in three dimensions in the presence of a flat optical phonon branch.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
105
issue
1
article number
014433
publisher
American Physical Society
external identifiers
  • scopus:85123749534
ISSN
2469-9950
DOI
10.1103/PhysRevB.105.014433
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022 American Physical Society.
id
2b85ea7f-0021-4e05-9f24-265262364758
date added to LUP
2022-02-16 13:55:05
date last changed
2022-04-19 01:16:20
@article{2b85ea7f-0021-4e05-9f24-265262364758,
  abstract     = {{<p>The magnon-phonon interaction is receiving growing attention due to its key role in spin caloritronics and the emerging field of acoustic spintronics. At resonance, this magnetoelastic interaction forms magnon polarons, which underpin exotic phenomena such as magnonic heat currents and phononic spin, but is mostly investigated using mesoscopic spin-lattice models. Motivated to integrate the magnon-phonon interaction into first-principles many-body electronic structure theory, we set out to derive the exchange contribution, which is subtler than the spin-orbit contribution, using Schwinger functional derivatives. To avoid having to solve the famous Hedin-Baym equations self-consistently, the phonons are treated as perturbations to the electronic structure. A formalism based on imposing a crossing-symmetric electron-electron interaction is developed in order to treat charge and spin on equal footing to respect the Pauli exclusion principle. Due to spin conservation, the magnon-phonon interaction first enters to second order through the magnon-magnon interaction, which renormalizes the magnons. We show by iteration that the magnon-magnon interaction contains a "screened T matrix"term and an arguably more important term which, in the local-spin limit, enables first-principles phonon emission and absorption amplitudes, predicted by phenomenological magnetoelastic models. These terms are, respectively, of first and second order in the screened collective four-point interaction W-a crossing-symmetric analog of Hedin's W. Proof-of-principle results are presented at varying temperatures for an isotropic magnon spectrum in three dimensions in the presence of a flat optical phonon branch.</p>}},
  author       = {{Sjöstrand, T. J. and Aryasetiawan, F.}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{01}},
  number       = {{1}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Magnon-phonon interaction and the underlying role of the Pauli exclusion principle}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.105.014433}},
  doi          = {{10.1103/PhysRevB.105.014433}},
  volume       = {{105}},
  year         = {{2022}},
}