Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets
We show that time-reversal symmetry-broken, centrosymmetric antiferromagnets with nonrelativistic spin splitting of d-wave symmetry—the so-called d-wave altermagnets—are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order ferroic...
Main Authors: | , |
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Format: | Article |
Language: | English |
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American Physical Society
2024-02-01
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Series: | Physical Review X |
Online Access: | http://doi.org/10.1103/PhysRevX.14.011019 |
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author | Sayantika Bhowal Nicola A. Spaldin |
author_facet | Sayantika Bhowal Nicola A. Spaldin |
author_sort | Sayantika Bhowal |
collection | DOAJ |
description | We show that time-reversal symmetry-broken, centrosymmetric antiferromagnets with nonrelativistic spin splitting of d-wave symmetry—the so-called d-wave altermagnets—are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order ferroically ordered magnetic quantity in this case and so are the natural order parameter for the transition into the magnetically ordered state. They provide a unified description of the broken time-reversal symmetry and the nonrelativistic spin splitting, as well as a platform for manipulating the latter, and account for other phenomena, such as piezomagnetism, characteristic of this class of antiferromagnets. Unusually for antiferromagnets, we show that the magnetic octupoles cause a nonzero magnetic Compton scattering, providing a route for their direct experimental detection. We illustrate these concepts using density-functional and model calculations for the prototypical nonrelativistic spin-split antiferromagnet, rutile-structure manganese difluoride MnF_{2}. |
first_indexed | 2024-03-08T00:25:26Z |
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id | doaj.art-0c8c0a59da0543c99a78d482e226286a |
institution | Directory Open Access Journal |
issn | 2160-3308 |
language | English |
last_indexed | 2024-03-08T00:25:26Z |
publishDate | 2024-02-01 |
publisher | American Physical Society |
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series | Physical Review X |
spelling | doaj.art-0c8c0a59da0543c99a78d482e226286a2024-02-15T18:33:17ZengAmerican Physical SocietyPhysical Review X2160-33082024-02-0114101101910.1103/PhysRevX.14.011019Ferroically Ordered Magnetic Octupoles in d-Wave AltermagnetsSayantika BhowalNicola A. SpaldinWe show that time-reversal symmetry-broken, centrosymmetric antiferromagnets with nonrelativistic spin splitting of d-wave symmetry—the so-called d-wave altermagnets—are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order ferroically ordered magnetic quantity in this case and so are the natural order parameter for the transition into the magnetically ordered state. They provide a unified description of the broken time-reversal symmetry and the nonrelativistic spin splitting, as well as a platform for manipulating the latter, and account for other phenomena, such as piezomagnetism, characteristic of this class of antiferromagnets. Unusually for antiferromagnets, we show that the magnetic octupoles cause a nonzero magnetic Compton scattering, providing a route for their direct experimental detection. We illustrate these concepts using density-functional and model calculations for the prototypical nonrelativistic spin-split antiferromagnet, rutile-structure manganese difluoride MnF_{2}.http://doi.org/10.1103/PhysRevX.14.011019 |
spellingShingle | Sayantika Bhowal Nicola A. Spaldin Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets Physical Review X |
title | Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets |
title_full | Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets |
title_fullStr | Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets |
title_full_unstemmed | Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets |
title_short | Ferroically Ordered Magnetic Octupoles in d-Wave Altermagnets |
title_sort | ferroically ordered magnetic octupoles in d wave altermagnets |
url | http://doi.org/10.1103/PhysRevX.14.011019 |
work_keys_str_mv | AT sayantikabhowal ferroicallyorderedmagneticoctupolesindwavealtermagnets AT nicolaaspaldin ferroicallyorderedmagneticoctupolesindwavealtermagnets |