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...

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Main Authors: Sayantika Bhowal, Nicola A. Spaldin
Format: Article
Language:English
Published: American Physical Society 2024-02-01
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}.
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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
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AT nicolaaspaldin ferroicallyorderedmagneticoctupolesindwavealtermagnets