journal article·2026-01Open access

Flexoelectric Polarization Enhancement in Paraelectric BaHfO 3 via Strain Gradient Engineering

Timo Piecuch, Nina Daneu, Jeffrey A. Brock, Xiaochun Huang, Tina Radoševič, Arnold M. Müller, Christof Vockenhuber, Christof W. Schneider, Thomas Lippert, Nick A. Shepelin

Small· Volume 22· Issue 4

Abstract

Abstract Flexoelectricity – polarization induced by strain gradients – offers a route to polar functionality in centrosymmetric dielectrics, where traditional piezoelectric effects are absent. This study investigates the flexoelectric effect in epitaxial BaHfO 3 (BHO) thin films, a centrosymmetric and paraelectric perovskite. While a large lattice mismatch induces defect‐driven relaxation, a coherently grown BHO film undergoes elastic relaxation, forming intrinsic strain gradients exceeding 10 5 m −1 . A 29‐fold enhancement in spontaneous polarization is observed at an electric field of 4 MV cm −1 for BHO exhibiting a strain gradient compared to relaxed BHO. This enhancement is attributed to flexoelectric coupling, which is isolated from ferroelectric and piezoelectric contributions due to the centrosymmetric nature and the absence of phase transitions in BHO. The findings establish a clear link between engineered strain gradients and enhanced polarizability in oxide thin films, offering a benchmark system for deconvoluting the flexoelectric effect from other polar effects. These results provide a basis for exploiting flexoelectricity in dielectric devices and advance the fundamental understanding of strain‐coupled phenomena in functional oxides.
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Research context

OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Ferroelectric and Piezoelectric Materials · Multiferroics and related materials

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Center for Neutron and Muon Sciences Paul Scherrer Institute Villigen PSI 5232 Switzerland

Laboratory of Inorganic Chemistry Department of Chemistry and Applied Biosciences ETH Zürich Zurich 8093 Switzerland

Advanced Materials Department Jožef Stefan Institute Ljubljana 1000 Slovenia

Laboratory for Mesoscopic Systems Department of Materials ETH Zürich Zurich 8093 Switzerland

Laboratory of Ion Beam Physics ETH Zürich Zürich 8093 Switzerland

References (62)

Show source-provided references
1. 10.1146/annurev-matsci-071312-12163410.1146/annurev-matsci-071312-121634 ↗
2. 10.1002/adma.20140065410.1002/adma.201400654 ↗
3. 10.1016/j.scriptamat.2021.11442710.1016/j.scriptamat.2021.114427 ↗
4. 10.1103/PhysRevB.65.21990110.1103/PhysRevB.65.219901 ↗
5. 10.1063/5.001598710.1063/5.0015987 ↗
6. 10.1103/PhysRevApplied.18.06401710.1103/PhysRevApplied.18.064017 ↗
7. Rasic D. · 2019
8. 10.1039/D2CS00938B10.1039/D2CS00938B ↗
9. 10.1039/D1CC02276H10.1039/D1CC02276H ↗
10. 10.1016/0921-5107(91)90100-A10.1016/0921-5107(91)90100-A ↗
11. 10.1103/PhysRevLett.85.101610.1103/PhysRevLett.85.1016 ↗
12. Mashkevich V. S. · Sov. Phys. JETP · 1957 · 4 · 435
13. Kogan S. M. · Sov. Phys. Solid State · 1964 · 5 · 2069
14. Tagantsev A. K. · Sov. Phys. JETP · 1985 · 61 · 1246
15. 10.1103/PhysRevB.34.588310.1103/PhysRevB.34.5883 ↗
16. 10.1103/PhysRevB.88.17410610.1103/PhysRevB.88.174106 ↗
17. 10.1103/PhysRevLett.99.16760110.1103/PhysRevLett.99.167601 ↗
18. 10.1103/PhysRevB.72.02010210.1103/PhysRevB.72.020102 ↗
19. 10.1002/adfm.20241288710.1002/adfm.202412887 ↗
20. 10.1021/cr980129f10.1021/cr980129f ↗
21. 10.1016/j.mser.2010.03.00110.1016/j.mser.2010.03.001 ↗
22. Lee D. · Phys. Rev. · 2011 · 107
23. 10.1021/nl303812910.1021/nl3038129 ↗
24. 10.1016/j.physb.2009.04.01110.1016/j.physb.2009.04.011 ↗
25. 10.1103/PhysRevB.52.1315910.1103/PhysRevB.52.13159 ↗
26. 10.1021/jacs.4c0528110.1021/jacs.4c05281 ↗
27. 10.1103/PhysRevResearch.4.L03202010.1103/PhysRevResearch.4.L032020 ↗
28. 10.1063/1.497486410.1063/1.4974864 ↗
29. 10.1021/acsami.2c0228110.1021/acsami.2c02281 ↗
30. 10.1107/S160057671801137810.1107/S1600576718011378 ↗
31. 10.1016/S0022-0248(01)00821-110.1016/S0022-0248(01)00821-1 ↗
32. 10.1063/1.494876710.1063/1.4948767 ↗
33. 10.1016/B978-0-323-91150-4.00027-610.1016/B978-0-323-91150-4.00027-6 ↗
34. 10.1038/269229a010.1038/269229a0 ↗
35. 10.1063/1.159827410.1063/1.1598274 ↗
36. 10.1016/j.jeurceramsoc.2005.03.13710.1016/j.jeurceramsoc.2005.03.137 ↗
37. 10.1063/1.479364910.1063/1.4793649 ↗
38. 10.1103/PhysRevResearch.3.03321310.1103/PhysRevResearch.3.033213 ↗
39. 10.1021/acs.chemmater.3c0014710.1021/acs.chemmater.3c00147 ↗
40. 10.1063/1.130853110.1063/1.1308531 ↗
41. 10.1038/nmat105710.1038/nmat1057 ↗
42. 10.1063/1.37029910.1063/1.370299 ↗
43. 10.1063/1.161079410.1063/1.1610794 ↗
44. 10.1063/1.138489310.1063/1.1384893 ↗
45. 10.1063/1.493946610.1063/1.4939466 ↗
46. 10.1038/s41467-022-32519-210.1038/s41467-022-32519-2 ↗
47. Khan M. I. · 2021
48. 10.1103/PhysRevB.88.13410610.1103/PhysRevB.88.134106 ↗
49. 10.1007/978-3-642-45841-510.1007/978-3-642-45841-5 ↗
50. 10.1016/j.scriptamat.2021.11442710.1016/j.scriptamat.2021.114427 ↗
51. 10.1103/PhysRevMaterials.6.09441610.1103/PhysRevMaterials.6.094416 ↗
52. 10.1103/PhysRevLett.120.26760110.1103/PhysRevLett.120.267601 ↗
53. 10.1038/s41467-021-27906-010.1038/s41467-021-27906-0 ↗
54. Xiong Y. · Nano Lett. · 2025 · 25 · 24
55. 10.1103/PhysRevB.97.02410210.1103/PhysRevB.97.024102 ↗
56. 10.1142/S2010135X1100014810.1142/S2010135X11000148 ↗
57. Guo F. · Rapid Commun. · 2020 · 126 · 922
58. 10.1142/S2010135X2330001310.1142/S2010135X23300013 ↗
59. 10.1063/5.023322910.1063/5.0233229 ↗
60. 10.1002/adfm.20240990610.1002/adfm.202409906 ↗
61. 10.1007/s00339-021-04503-y10.1007/s00339-021-04503-y ↗
62. 10.1021/nl303611v10.1021/nl303611v ↗