- Open Access
Local indirect magnetoelectric coupling at twin walls in
Phys. Rev. B 113, 224102 – Published 1 June, 2026
DOI: https://doi.org/10.1103/6y99-279q
Abstract
Ferroelastic twin walls in centrosymmetric perovskites can host emergent polar and magnetic properties forbidden in the bulk. We use density functional theory calculations to study the geometry and magnetic properties of ferroelastic domain walls in orthorhombic , which belongs to the most common perovskite space group, . At the wall, the inherent inversion symmetry breaking induces local polar distortions dependent on the wall geometry, which couple to the magnetic order through the octahedral distortions. Noncollinear calculations reveal enhanced out-of-plane magnetic moments on the atoms and a local, finite magnetization confined to the wall. Strain fields across twin walls thus give rise to coexistence of polarization and magnetization as well as magnetoelectric response that is absent and symmetry forbidden in bulk . We propose that magnetoelectric coupling and coexisting polarization and magnetization can emerge at twin walls in bulk centrosymmetric antiferromagnets.
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References (78)
- M. Fiebig, T. Lottermoser, D. Meier, and M. Trassin, The evolution of multiferroics, Nat. Rev. Mater. 1, 16046 (2016).
- N. A. Hill, Why are there so few magnetic ferroelectrics? J. Phys. Chem. B 104, 6694 (2000).
- H. J. Xiang, P. S. Wang, M.-H. Whangbo, and X. G. Gong, Unified model of ferroelectricity induced by spin order, Phys. Rev. B 88, 054404 (2013).
- S.-W. Cheong and M. Mostovoy, Multiferroics: A magnetic twist for ferroelectricity, Nat. Mater. 6, 13 (2007).
- T. Aoyama, K. Yamauchi, A. Iyama, S. Picozzi, K. Shimizu, and T. Kimura, Giant spin-driven ferroelectric polarization in under high pressure, Nat. Commun. 5, 4927 (2014).
- Y. Tokura and S. Seki, Multiferroics with spiral spin orders, Adv. Mater. 22, 1554 (2010).
- C. Ederer and N. A. Spaldin, Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite, Phys. Rev. B 71, 060401(R) (2005).
- C. J. Fennie, Ferroelectrically induced weak ferromagnetism by design, Phys. Rev. Lett. 100, 167203 (2008).
- N. A. Benedek and C. J. Fennie, Hybrid improper ferroelectricity: A mechanism for controllable polarization-magnetization coupling, Phys. Rev. Lett. 106, 107204 (2011).
- I. Dzyaloshinsky, A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics, J. Phys. Chem. Solids 4, 241 (1958).
- T. Moriya, Anisotropic superexchange interaction and weak ferromagnetism, Phys. Rev. 120, 91 (1960).
- A. Marthinsen, C. Faber, U. Aschauer, N. A. Spaldin, and S. M. Selbach, Coupling and competition between ferroelectricity, magnetism, strain, and oxygen vacancies in perovskites, MRS Commun. 6, 182 (2016).
- E. Dagotto and Y. Tokura, Strongly correlated electronic materials: Present and future, MRS Bull. 33, 1037 (2008).
- K. Terakura, Magnetism, orbital ordering and lattice distortion in perovskite transition-metal oxides, Prog. Mater. Sci. 52, 388 (2007).
- J. B. Goodenough, Perspective on engineering transition-metal oxides, Chem. Mater. 26, 820 (2014).
- Y. Zhou, Z. Chen, Z. Wu, X. Shen, J. Wang, J. Zhang, and H. Sun, Hybrid improper ferroelectricity and magnetoelectric coupling in a two-dimensional perovskite oxide, Phys. Rev. B 103, 224409 (2021).
- U. Dey, E. E. McCabe, J. Íñiguez González, and N. C. Bristowe, Prediction of room temperature electric field reversal of magnetization in the family of layered oxides, Phys. Rev. Lett. 134, 136801 (2025).
- D. Meier and S. M. Selbach, Ferroelectric domain walls for nanotechnology, Nat. Rev. Mater. 7, 157 (2022).
- E. A. Eliseev, A. N. Morozovska, Y. Gu, A. Y. Borisevich, L.-Q. Chen, V. Gopalan, and S. V. Kalinin, Conductivity of twin-domain-wall/surface junctions in ferroelastics: Interplay of deformation potential, octahedral rotations, improper ferroelectricity, and flexoelectric coupling, Phys. Rev. B 86, 085416 (2012).
- A. N. Morozovska, E. A. Eliseev, M. D. Glinchuk, L.-Q. Chen, and V. Gopalan, Interfacial polarization and pyroelectricity in antiferrodistortive structures induced by a flexoelectric effect and rotostriction, Phys. Rev. B 85, 094107 (2012).
- A. Schiaffino and M. Stengel, Macroscopic polarization from antiferrodistortive cycloids in ferroelastic , Phys. Rev. Lett. 119, 137601 (2017).
- K. M. Rabe, Theoretical investigations of epitaxial strain effects in ferroelectric oxide thin films and superlattices, Curr. Opin. Solid State Mater. Sci. 9, 122 (2005).
- N. A. Benedek, A. T. Mulder, and C. J. Fennie, Polar octahedral rotations: A path to new multifunctional materials, J. Solid State Chem. 195, 11 (2012).
- Q. Zhou and K. M. Rabe, Strain-induced hybrid improper ferroelectricity in simple perovskites from first principles, arXiv:1306.1839.
- U. Aschauer and N. A. Spaldin, Competition and cooperation between antiferrodistortive and ferroelectric instabilities in the model perovskite , J. Phys.: Condens. Matter 26, 122203 (2014).
- U. Aschauer and N. A. Spaldin, Interplay between strain, defect charge state, and functionality in complex oxides, Appl. Phys. Lett. 109, 031901 (2016).
- E. Bousquet and N. Spaldin, Induced magnetoelectric response in perovskites, Phys. Rev. Lett. 107, 197603 (2011).
- S. Rooj, S. Saxena, and N. Ganguli, Altermagnetism in the orthorhombic structure through group theory and DFT calculations, Phys. Rev. B 111, 014434 (2025).
- E. Bousquet and A. Cano, Non-collinear magnetism in multiferroic perovskites, J. Phys.: Condens. Matter 28, 123001 (2016).
- J. Hong, A. Stroppa, J. Íñiguez, S. Picozzi, and D. Vanderbilt, Spin-phonon coupling effects in transition-metal perovskites: A DFT and hybrid-functional study, Phys. Rev. B 85, 054417 (2012).
- D. D. Khalyavin, A. N. Salak, P. Manuel, N. M. Olekhnovich, A. V. Pushkarev, Y. V. Radysh, A. V. Fedorchenko, E. L. Fertman, V. A. Desnenko, and M. G. Ferreira, Antisymmetric exchange in -substituted system: Symmetry adapted distortion modes approach, Z. Kristallogr. Cryst. Mater. 230, 767 (2015).
- H. J. Zhao and J. Íñiguez, Creating multiferroic and conductive domain walls in common ferroelastic compounds, npj Comput. Mater. 5, 92 (2019).
- P. Barone, D. Di Sante, and S. Picozzi, Improper origin of polar displacements at and twin walls, Phys. Rev. B 89, 144104 (2014).
- P. Zhou, S. Dong, H. Liu, C. Ma, Z. Yan, C. Zhong, and J.-M. Liu, Ferroelectricity driven magnetism at domain walls in superlattices, Sci. Rep. 5, 13052 (2015).
- M. Daraktchiev, G. Catalan, and J. F. Scott, Landau theory of domain wall magnetoelectricity, Phys. Rev. B 81, 224118 (2010).
- Y. Geng, N. Lee, Y. Choi, S.-W. Cheong, and W. Wu, Collective magnetism at multiferroic vortex domain walls, Nano Lett. 12, 6055 (2012).
- K. Geirhos, B. Gross, B. G. Szigeti, A. Mehlin, S. Philipp, J. S. White, R. Cubitt, S. Widmann, S. Ghara, P. Lunkenheimer, et al., Macroscopic manifestation of domain-wall magnetism and magnetoelectric effect in a Néel-type skyrmion host, npj Quantum Mater. 5, 44 (2020).
- S. Farokhipoor, C. Magén, S. Venkatesan, J. Íñiguez, C. J. Daumont, D. Rubi, E. Snoeck, M. Mostovoy, C. De Graaf, A. Müller, et al., Artificial chemical and magnetic structure at the domain walls of an epitaxial oxide, Nature (London) 515, 379 (2014).
- G. Kresse and J. Furthmüller, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B 54, 11169 (1996).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- J. P. Perdew, A. Ruzsinszky, G. I. Csonka, O. A. Vydrov, G. E. Scuseria, L. A. Constantin, X. Zhou, and K. Burke, Restoring the density-gradient expansion for exchange in solids and surfaces, Phys. Rev. Lett. 100, 136406 (2008).
- S. L. Dudarev, G. A. Botton, S. Y. Savrasov, C. J. Humphreys, and A. P. Sutton, Electron-energy-loss spectra and the structural stability of nickel oxide: An LSDA+ study, Phys. Rev. B 57, 1505 (1998).
- V. I. Anisimov, J. Zaanen, and O. K. Andersen, Band theory and Mott insulators: Hubbard instead of Stoner , Phys. Rev. B 44, 943 (1991).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- A. Togo, First-principles phonon calculations with phonopy and phono3py, J. Phys. Soc. Jpn. 92, 012001 (2023).
- A. Togo, L. Chaput, T. Tadano, and I. Tanaka, Implementation strategies in phonopy and phono3py, J. Phys.: Condens. Matter 35, 353001 (2023).
- H. T. S. Stokes, D. M. Hatch, and B. J. Campbell, ISOTROPY software suite, iso.byu.edu.
- K. Momma and F. Izumi, VESTA3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
- I. C. Skogvoll, B. A. D. Williamson, and S. M. Selbach, Structure files—ferroelastic domain walls in , Zenodo 2025, https://doi.org/10.5281/zenodo.17637915.
- H. T. Stokes, E. H. Kisi, D. M. Hatch, and C. J. Howard, Group-theoretical analysis of octahedral tilting in ferroelectric perovskites, Acta Crystallogr. Sect. B 58, 934 (2002).
- J. Klarbring and S. I. Simak, Nature of the octahedral tilting phase transitions in perovskites: A case study of , Phys. Rev. B 97, 024108 (2018).
- C.-J. Eklund, C. J. Fennie, and K. M. Rabe, Strain-induced ferroelectricity in orthorhombic from first principles, Phys. Rev. B 79, 220101(R) (2009).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/6y99-279q for more details on the improper mechanism coupling rotational and antipolar modes, the domain wall geometry, and the local magnetic order, which includes Figs. S1 -S6 and Ref. [54].
- N. A. Benedek and M. A. Hayward, Hybrid improper ferroelectricity: A theoretical, computational, and synthetic perspective, Annu. Rev. Mater. Res. 52, 331 (2022).
- Z. Zanolli, J. C. Wojdeł, J. Íñiguez, and P. Ghosez, Electric control of the magnetization in superlattices, Phys. Rev. B 88, 060102(R) (2013).
- Y. S. Oh, X. Luo, F.-T. Huang, Y. Wang, and S.-W. Cheong, Experimental demonstration of hybrid improper ferroelectricity and the presence of abundant charged walls in crystals, Nat. Mater. 14, 407 (2015).
- F.-T. Huang, F. Xue, B. Gao, L. Wang, X. Luo, W. Cai, X.-Z. Lu, J. Rondinelli, L. Chen, and S.-W. Cheong, Domain topology and domain switching kinetics in a hybrid improper ferroelectric, Nat. Commun. 7, 11602 (2016).
- M. Calleja, M. T. Dove, and E. K. Salje, Trapping of oxygen vacancies on twin walls of : A computer simulation study, J. Phys.: Condens. Matter 15, 2301 (2003).
- X.-K. Wei, A. K. Tagantsev, A. Kvasov, K. Roleder, C.-L. Jia, and N. Setter, Ferroelectric translational antiphase boundaries in nonpolar materials, Nat. Commun. 5, 3031 (2014).
- X. Zhang, B. Wang, Y. Ji, F. Xue, Y. Wang, L.-Q. Chen, and C.-W. Nan, First-principles calculations of domain wall energies of prototypical ferroelectric perovskites, Acta Mater. 242, 118351 (2023).
- K. Eggestad, B. A. D. Williamson, D. Meier, and S. M. Selbach, Mobile intrinsic point defects for conductive neutral domain walls in , J. Mater. Chem. C 12, 17099 (2024).
- E. Salje, Phase Transitions in Ferroelastic and Co-Elastic Crystals (Cambridge University Press, Cambridge, 1990).
- G. Lu and E. K. Salje, Temperature dependence of emerging properties of ferroelastic domain walls in , J. Appl. Phys. 137, 154102 (2025).
- P. W. Anderson, Antiferromagnetism. Theory of superexchange interaction, Phys. Rev. 79, 350 (1950).
- J. Kanamori, Superexchange interaction and symmetry properties of electron orbitals, J. Phys. Chem. Solids 10, 87 (1959).
- P. W. Anderson, New approach to the theory of superexchange interactions, Phys. Rev. 115, 2 (1959).
- H. Tsukahara, S. Ishibashi, and K. Terakura, First-principles calculations for the magnetic phase diagram in electron-doped under compressive and tensile strains, Phys. Rev. B 81, 214108 (2010).
- J. B. Goodenough, Magnetism and the Chemical Bond (John Wiley & Sons, New York, 1963).
- J. N. Lalena and D. A. Cleary, Principles of Inorganic Materials Design (John Wiley & Sons, New York, 2005).
- M. S. Senn and N. C. Bristowe, A group-theoretical approach to enumerating magnetoelectric and multiferroic couplings in perovskites, Acta Crystallogr. Sect. A 74, 308 (2018).
- S.-W. Cheong, M. Fiebig, W. Wu, L. Chapon, and V. Kiryukhin, Seeing is believing: Visualization of antiferromagnetic domains, npj Quantum Mater. 5, 3 (2020).
- Y. Geng, H. Das, A. L. Wysocki, X. Wang, S. Cheong, M. Mostovoy, C. J. Fennie, and W. Wu, Direct visualization of magnetoelectric domains, Nat. Mater. 13, 163 (2014).
- J.-Y. Chauleau, T. Chirac, S. Fusil, V. Garcia, W. Akhtar, J. Tranchida, P. Thibaudeau, I. Gross, C. Blouzon, A. Finco, et al., Electric and antiferromagnetic chiral textures at multiferroic domain walls, Nat. Mater. 19, 386 (2020).
- M.-G. Han, J. A. Garlow, Y. Liu, H. Zhang, J. Li, D. DiMarzio, M. W. Knight, C. Petrovic, D. Jariwala, and Y. Zhu, Topological magnetic-spin textures in two-dimensional van der Waals , Nano Lett. 19, 7859 (2019).
- J.-S. Zhou, L. G. Marshall, Z.-Y. Li, X. Li, and J.-M. He, Weak ferromagnetism in perovskite oxides, Phys. Rev. B 102, 104420 (2020).
- I. A. Sergienko and E. Dagotto, Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites, Phys. Rev. B 73, 094434 (2006).
- C. Weingart, N. Spaldin, and E. Bousquet, Noncollinear magnetism and single-ion anisotropy in multiferroic perovskites, Phys. Rev. B 86, 094413 (2012).
- Y. Zemp, M. Trassin, E. Gradauskaite, B. Gao, S.-W. Cheong, T. Lottermoser, M. Fiebig, and M. C. Weber, Magnetoelectric coupling in the multiferroic hybrid-improper ferroelectric , Phys. Rev. B 109, 184417 (2024).