Local Magnetoelectric Effects as Predictors of Surface Magnetic Order

We use symmetry analysis and density functional theory to show that changes in magnetic order at a surface with respect to magnetic order in the bulk can be generically determined by considering local magnetoelectric responses of the crystal. Specifically, analysis of the local atomic-site magnetoel...

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Main Authors: Sophie F. Weber, Andrea Urru, Nicola A. Spaldin
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/7brd-lynv
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author Sophie F. Weber
Andrea Urru
Nicola A. Spaldin
author_facet Sophie F. Weber
Andrea Urru
Nicola A. Spaldin
author_sort Sophie F. Weber
collection DOAJ
description We use symmetry analysis and density functional theory to show that changes in magnetic order at a surface with respect to magnetic order in the bulk can be generically determined by considering local magnetoelectric responses of the crystal. Specifically, analysis of the local atomic-site magnetoelectric responses, or, equivalently, the corresponding atomic-site magnetic multipoles, can be used to predict all surface magnetic modifications arising purely from symmetry lowering via termination of the bulk magnetic order. This analysis applies even in materials with no bulk magnetoelectric response or net surface magnetization. We then demonstrate our arguments for two example antiferromagnets, topological semimetal CuMnAs and rocksalt NiO. We find that the (010) and (11[over ¯]0) surfaces of CuMnAs and NiO, respectively, exhibit a series of antiferroically, as well as roughness-sensitive, ferroically ordered, modifications of the surface magnetic dipole moments, via canting or changes in sublattice magnitude, consistent with the bulk ordering of the magnetic multipoles. Our findings demonstrate a universal bulk-boundary correspondence allowing the general prediction of minimal possible surface and interface magnetic modifications, even in materials with no net magnetoelectric response. Furthermore, it paves the way for more accurate interpretations of a wide variety of surface-sensitive measurements.
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spelling doaj-art-19bd4222900445d1bfaeb0c4ac539f5d2025-08-20T02:07:34ZengAmerican Physical SocietyPhysical Review X2160-33082025-06-0115202109410.1103/7brd-lynvLocal Magnetoelectric Effects as Predictors of Surface Magnetic OrderSophie F. WeberAndrea UrruNicola A. SpaldinWe use symmetry analysis and density functional theory to show that changes in magnetic order at a surface with respect to magnetic order in the bulk can be generically determined by considering local magnetoelectric responses of the crystal. Specifically, analysis of the local atomic-site magnetoelectric responses, or, equivalently, the corresponding atomic-site magnetic multipoles, can be used to predict all surface magnetic modifications arising purely from symmetry lowering via termination of the bulk magnetic order. This analysis applies even in materials with no bulk magnetoelectric response or net surface magnetization. We then demonstrate our arguments for two example antiferromagnets, topological semimetal CuMnAs and rocksalt NiO. We find that the (010) and (11[over ¯]0) surfaces of CuMnAs and NiO, respectively, exhibit a series of antiferroically, as well as roughness-sensitive, ferroically ordered, modifications of the surface magnetic dipole moments, via canting or changes in sublattice magnitude, consistent with the bulk ordering of the magnetic multipoles. Our findings demonstrate a universal bulk-boundary correspondence allowing the general prediction of minimal possible surface and interface magnetic modifications, even in materials with no net magnetoelectric response. Furthermore, it paves the way for more accurate interpretations of a wide variety of surface-sensitive measurements.http://doi.org/10.1103/7brd-lynv
spellingShingle Sophie F. Weber
Andrea Urru
Nicola A. Spaldin
Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
Physical Review X
title Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
title_full Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
title_fullStr Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
title_full_unstemmed Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
title_short Local Magnetoelectric Effects as Predictors of Surface Magnetic Order
title_sort local magnetoelectric effects as predictors of surface magnetic order
url http://doi.org/10.1103/7brd-lynv
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AT andreaurru localmagnetoelectriceffectsaspredictorsofsurfacemagneticorder
AT nicolaaspaldin localmagnetoelectriceffectsaspredictorsofsurfacemagneticorder