Abstract
The dynamic behavior of ferroelectric domain walls (DWs), particularly both 90° and 180° DWs, is crucial for high-performance HfO2-based ferroelectric devices. However, fundamentally understanding DW dynamics is challenging because the role of 90° DWs and their interplay with 180° DWs in ferroelectric switching remains elusive in HfO2-based ferroelectrics. Here, we employ phase-field simulations to investigate the dynamics of domain and DW in epitaxial Hf0.5Zr0.5O2 thin films with the coexistence of 90° and 180° DWs. It indicates that the threshold voltage for 90° DW migration is much higher than that for 180° DW owing to the higher migration energy barrier for the former. 90° DWs play a complex dual role in ferroelectric switching: they lower the nucleation voltage by serving as preferential nucleation sites for 180° domain switching, while simultaneously impeding the propagation of 180° DWs due to their high migration energy barrier. Furthermore, 90° DWs guide the switching pathway of nascent 180° domains around ferroelastic domains to avoid the formation of unstable charged DWs. These findings provide a fundamental mesoscale understanding of competitive and synergistic mechanisms between 90° and 180° DWs in ferroelectric switching, offering guidance for precise manipulation of DWs to optimize the performance of HfO2-based ferroelectric memories.
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Data availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Code availability
The phase-field simulations are performed using the software package Mu-PRO (www.mupro.co).
References
Boescke, T. S., Müller, J., Bräuhaus, D., Schröder, U. & Böttger, U. Ferroelectricity in hafnium oxide thin films. Appl. Phys. Lett. 99, 102903 (2011).
Park, J. Y. et al. Revival of ferroelectric memories based on emerging fluorite-structured ferroelectrics. Adv. Mater. 35, 2204904 (2023).
Khan, A. I., Keshavarzi, A. & Datta, S. The future of ferroelectric field-effect transistor technology. Nat. Electron. 3, 588–597 (2020).
Cheema, S. S. et al. Enhanced ferroelectricity in ultrathin films grown directly on silicon. Nature 580, 478–482 (2020).
Lee, H. J. et al. Scale-free ferroelectricity induced by flat phonon bands in HfO2. Science 369, 1343–1347 (2020).
Zhou, P. A. et al. Intrinsic 90° charged domain wall and its effects on ferroelectric properties. Acta Mater. 232, 117920 (2022).
Zhang, S. R. et al. Domain wall evolution in Hf0.5Zr0.5O2 ferroelectrics under field-cycling behavior. Research 6, 0093 (2023).
Wu, F. L. et al. Effects of polarization behavior on wake-up and fatigue of hafnium-based ferroelectric thin films. Small Methods 9, e00865 (2025).
Zeng, B. J. et al. Polarization fatigue mechanism of laminated hafnium zirconium oxide ferroelectric thin films. Acta Mater. 272, 119920 (2024).
Xie, M. T., Yu, H. Y., Zhang, B. H., Xu, C. S. & Xiang, H. J. Role of domain walls on imprint and fatigue in HfO2-based ferroelectrics. Phys. Rev. B 111, 184108 (2025).
Zhu, T. Y., Ma, L. Y., Deng, S. Q. & Liu, S. Progress in computational understanding of ferroelectric mechanisms in HfO2. npj Comput. Mater. 10, 188 (2024).
Choe, D. H. et al. Unexpectedly low barrier of ferroelectric switching in HfO2 via topological domain walls. Mater. Today 50, 8–15 (2021).
Zhao, G.-D., Liu, X., Ren, W., Zhu, X. & Yu, S. Symmetry of ferroelectric switching and domain walls in hafnium dioxide. Phys. Rev. B 106, 064104 (2022).
Wu, Y. et al. Unconventional polarization-switching mechanism in (Hf, Zr)O2 ferroelectrics and its implications. Phys. Rev. Lett. 131, 226802 (2023).
Yang, J. Y. et al. Theoretical lower limit of coercive field in ferroelectric hafnia. Phys. Rev. X 15, 021042 (2025).
Ye, K. H. et al. Ab Initio study on 3D anisotropic ferroelectric switching mechanism and coercive field in HfO2 and ZrO2. Adv. Funct. Mater. 35, 2500390 (2025).
Zhou, S. S. & Rappe, A. M. Nucleation mechanism of multiple-order parameter ferroelectric domain wall motion in hafnia. Proc. Natl. Acad. Sci. USA 122, e2406316122 (2025).
Guido, R. et al. Ferroelectric Al0.85Sc0.15N and Hf0.5Zr0.5O2 domain switching dynamics. ACS Appl. Mater. Interfaces 16, 42415–42425 (2024).
Guido, R. et al. Polarization switching in HfO2-based devices. In Ferroelectricity in Doped Hafnium Oxide 2nd edn (eds Schroeder, U., Hwang, C. S. & Funakubo, H.) Ch. 7.1, 545–571 (Woodhead Publishing, 2025).
Buragohain, P. et al. Effect of film microstructure on domain nucleation and intrinsic switching in ferroelectric Y:HfO2 thin film capacitors. Adv. Funct. Mater. 32, 2108876 (2022).
Zhou, C. et al. Enhanced polarization switching characteristics of HfO2 ultrathin films via acceptor-donor co-doping. Nat. Commun. 15, 2893 (2024).
Liu, J. T. et al. Ultra-low-voltage operation, large ferroelectric polarization, fast switching speed, and high endurance of 450 °C processed HZO thin films by starting-layer engineering. J. Mater. Sci. Technol. 241, 311–319 (2026).
Zhou, S. S., Qin, S. H. & Rappe, A. M. Domain wall reactions in multiple-order parameter ferroelectrics. Phys. Rev. Lett. 134, 136802 (2025).
Qi, Y. B., Singh, S. & Rabe, K. M. Polarization switching in ferroelectric HfO2 from first-principles lattice mode analysis. Phys. Rev. B 111, 134106 (2025).
Zheng, Y. Z. et al. Direct atomic-scale visualization of the 90° domain walls and their migrations in Hf0.5Zr0.5O2 ferroelectric thin films. Mater. Today Nano 24, 100406 (2023).
Li, X. Y. et al. Polarization switching and correlated phase transitions in fluorite-structure ZrO2 nanocrystals. Adv. Mater. 35, 2207736 (2023).
Li, X. et al. Ferroelastically protected reversible orthorhombic to monoclinic-like phase transition in ZrO2 nanocrystals. Nat. Mater. 23, 1077–1084 (2024).
Kumar, P., Gupta, D. & Lee, J. H. Negative gradient energy facilitates charged domain walls in HfO2. Phys. Rev. Lett. 134, 166101 (2025).
Yan, S. A. et al. Artificial intelligence-driven phase stability evaluation and new dopants identification of hafnium oxide-based ferroelectric materials. npj Comput. Mater. 11, 2 (2025).
Zhang, K. N. et al. High-throughput phase-field simulations and machine learning of resistive switching in resistive random-access memory. npj Comput. Mater. 6, 198 (2020).
Xu, X. H. et al. Kinetically stabilized ferroelectricity in bulk single-crystalline HfO2:Y. Nat. Mater 20, 826–832 (2021).
Grimley, E. D., Schenk, T., Mikolajick, T., Schroeder, U. & LeBeau, J. M. Atomic structure of domain and Interphase boundaries in ferroelectric HfO2. Adv. Mater. Interfaces 5, 1701258 (2018).
Lederer, M. et al. Evidence for ferroelastic switching and nanoscopic domains in polycrystalline Si-doped hafnium oxide films. Appl. Phys. Lett. 123, 022903 (2023).
Ding, W. T., Zhang, Y. K., Tao, L. L., Yang, Q. & Zhou, Y. C. The atomic-scale domain wall structure and motion in HfO2-based ferroelectrics: A first-principle study. Acta Mater 196, 556–564 (2020).
Hu, Q. et al. Mapping of the full polarization switching pathways for HfO2 and its implications. P. Natl. Acad. Sci. USA 122, e2419685122 (2025).
Wang, S. Y. et al. Unconventional ferroelectric-ferroelastic switching mediated by non-polar phase in fluorite oxides. Adv. Mater. 37, 2415131 (2025).
Park, K. et al. Atomic-scale scanning of domain network in the ferroelectric HfO2 thin film. ACS Nano 18, 26315–26326 (2024).
Delodovici, F., Barone, P. & Picozzi, S. Trilinear-coupling-driven ferroelectricity in HfO2. Phys. Rev. Mater. 5, 064405 (2021).
Kiguchi, T., Shiraishi, T., Shimizu, T., Funakubo, H. & Konno, T. J. Domain orientation relationship of orthorhombic and coexisting monoclinic phases of YO1.5-doped HfO2 epitaxial thin films. Jpn. J. Appl. Phys. 57, 11UF16 (2018).
Paul, T. K., Saha, A. K. & Gupta, S. K. Direction-dependent lateral domain walls in ferroelectric hafnium zirconium oxide and their gradient energy coefficients: A first-principles study. Adv. Electron Mater. 10, 2300400 (2023).
Wen, S. et al. Dynamics of anisotropic 180° domain walls in HfO2-based ferroelectric thin films via phase-field simulations. Acta Mater. 301, 121527 (2025).
Cheng, Y. et al. Reversible transition between the polar and antipolar phases and its implications for wake-up and fatigue in HfO2-based ferroelectric thin film. Nat. Commun. 13, 645 (2022).
Hoffmann, M. et al. Unveiling the double-well energy landscape in a ferroelectric layer. Nature 565, 464–467 (2019).
Jo, S. et al. Negative differential capacitance in ultrathin ferroelectric hafnia. Nat. Electron. 6, 390–397 (2023).
Wei, W. et al. In-depth understanding of polarization switching kinetics in polycrystalline Hf0.5Zr0.5O2 ferroelectric thin film: A transition from NLS to KAI. 2021 IEEE International Electron Devices Meeting (IEDM) 19.1.1–19.1.4 https://doi.org/10.1109/IEDM19574.2021.9720664 (2021).
Marton, P., Rychetsky, I. & Hlinka, J. Domain walls of ferroelectric BaTiO3 within the Ginzburg-Landau-Devonshire phenomenological model. Phys. Rev. B 81, 144125 (2010).
Fan, Y. et al. Hidden structural phase transition assisted ferroelectric domain orientation engineering in Hf0.5Zr0.5O2 films. Nat. Commun. 16, 4232 (2025).
Roelofs, A. et al. Depolarizing-field-mediated 180° switching in ferroelectric thin films with 90° domains. Appl. Phys. Lett. 80, 1424–1426 (2002).
Choudhury, S. et al. Effect of ferroelastic twin walls on local polarization switching: phase-field modeling. Appl. Phys. Lett. 93, 162901 (2008).
Ishibashi, Y. & Salje, E. Theoretical consideration on the 90° domain walls in tetragonal ferroelectrics. Ferroelectrics 303, 9–13 (2004).
Alhada-Lahbabi, K., Deleruyelle, D. & Gautier, B. Machine learning surrogate for 3D phase-field modeling of ferroelectric tip-induced electrical switching. npj Comput. Mater. 10, 197 (2024).
Britson, J., Gao, P., Pan, X. Q. & Chen, L. Q. Phase field simulation of charged interface formation during ferroelectric switching. Acta Mater. 112, 285–294 (2016).
Peng, R.-C. et al. Revealing the role of spacer layer in domain dynamics of Hf0.5Zr0.5O2 thin films for ferroelectrics. Adv. Funct. Mater. 34, 2403864 (2024).
Khachaturyan, A. G. & Shatalov, G. A. Theory of macroscopic periodicity for a phase transition in the solid state. J. Exp. Theor. Phys. 29, 557–561 (1969).
Hlinka, J. & Marton, P. Phenomenological model of a 90° domain wall in BaTiO3-type ferroelectrics. Phys. Rev. B 74, 104104 (2006).
Acknowledgements
This work was supported by the National Key Research and Development Program of China (Grant No. 2024YFA1208603), the Basic Research Program of Natural Science Foundation of Shaanxi Province (Grant No. 2024JC-YBMS-417), the Scientific Research Innovation Capability Support Project for Young Faculty (Grant No. ZYGXQNJSKYCXNLZCXM-M22), State Key Laboratory of New Ceramic and Fine Processing Tsinghua University (Grant No. KFZD202302), and Xidian University Specially Funded Project for Interdisciplinary Exploration (Grant No. TZJHF202517), and Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone Project (No.HZQSWS-KCCYB-2024016).
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R.-C.P. and M.L. conceived and supervised the project. S.W. performed the phase-field simulations. R.-C.P. and S.W. wrote the main manuscript with feedback from X.C., Y.Z., and M.L. All authors reviewed the manuscript.
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Wen, S., Peng, RC., Cheng, X. et al. The dual role of 90° domain walls in ferroelectric switching of Hf0.5Zr0.5O2 thin films: Insights from phase-field simulations. npj Comput Mater (2026). https://doi.org/10.1038/s41524-026-02028-7
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DOI: https://doi.org/10.1038/s41524-026-02028-7


