journal article·2023-05

Spherical ferroelectric solitons

Vivasha Govinden, Sergei Prokhorenko, Qi Zhang, Suyash Rijal, Yousra Nahas, Laurent Bellaiche, Nagarajan Valanoor

Nature Materials· Volume 22· Issue 5
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Abstract

Spherical ferroelectric domains, such as electrical bubbles, polar skyrmion bubbles and hopfions, share a single and unique feature-their homogeneously polarized cores are surrounded by a vortex ring of polarization whose outer shells form a spherical domain boundary. The resulting polar texture, typical of three-dimensional topological solitons, has an entirely new local symmetry characterized by a high polarization and strain gradients. Consequently, spherical domains represent a different material system of their own with emergent properties drastically different from that of their surrounding medium. Examples of new functionalities inherent to spherical domains include chirality, optical response, negative capacitance and giant electromechanical response. These characteristics, particularly given that the domains naturally have an ultrafine scale, offer new opportunities in high-density and low-energy nanoelectronic technologies. This Perspective gives an insight into the complex polar structure and physical origin of these spherical domains, which facilitates the understanding and development of spherical domains for device applications.
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Research context

OpenAlex topics: Ferroelectric and Piezoelectric Materials · Multiferroics and related materials · Acoustic Wave Resonator Technologies

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

References (64)

Show source-provided references
1. Lu, L. et al. Topological defects with distinct dipole configurations in PbTiO3/SrTiO3 multilayer films. Phys. Rev. Lett. 120, 177601 (2018).10.1103/PhysRevLett.120.177601 ↗
2. Luk’yanchuk, I., Tikhonov, Y., Razumnaya, A. & Vinokur, V. M. Hopfions emerge in ferroelectrics. Nat. Commun. 11, 2433 (2020).10.1038/s41467-020-16258-w ↗
3. Arnold, V. I. Topological Methods in Hydrodynamics (Springer, 1998).10.1007/b97593 ↗
4. Naumov, I. I., Bellaiche, L. & Fu, H. Unusual phase transitions in ferroelectric nanodisks and nanorods. Nature 432, 737–740 (2004).10.1038/nature03107 ↗
5. Fu, H. & Bellaiche, L. Ferroelectricity in barium titanate quantum dots and wires. Phys. Rev. Lett. 91, 257601 (2003).10.1103/PhysRevLett.91.257601 ↗
6. Zhu, X. et al. Perovskite lead zirconium titanate nanorings: towards nanoscale ferroelectric ‘solenoids’? Appl. Phys. Lett. 89, 122913 (2006).10.1063/1.2347893 ↗
7. Rodriguez, B. et al. Vortex polarization states in nanoscale ferroelectric arrays. Nano Lett. 9, 1127–1131 (2009).10.1021/nl8036646 ↗
8. Lai, B.-K. et al. Electric-field-induced domain evolution in ferroelectric ultrathin films. Phys. Rev. Lett. 96, 137602 (2006).10.1103/PhysRevLett.96.137602 ↗
9. Han, L. et al. High-density switchable skyrmion-like polar nanodomains integrated on silicon. Nature 603, 63–67 (2022).10.1038/s41586-021-04338-w ↗
10. Hill, M. J. M. VI On a spherical vortex. Phil. Trans. R. Soc. A 185, 213–245 (1894).
11. Zhang, Q. et al. Nanoscale bubble domains and topological transitions in ultrathin ferroelectric films. Adv. Mater. 29, 1702375 (2017).10.1002/adma.201702375 ↗
12. Gao, X. S. et al. Bubble polarization domain patterns in periodically ordered epitaxial ferroelectric nanodot arrays. J. Appl. Phys. 110, 052006 (2011).10.1063/1.3623766 ↗
13. Lichtensteiger, C. et al. Tuning of the depolarization field and nanodomain structure in ferroelectric thin films. Nano Lett. 14, 4205–4211 (2014).10.1021/nl404734z ↗
14. Edwards, D. et al. Giant resistive switching in mixed phase BiFeO3 via phase population control. Nanoscale 10, 17629–17637 (2018).10.1039/C8NR03653E ↗
15. Tikhonov, Y. et al. Controllable skyrmion chirality in ferroelectrics. Sci. Rep. 10, 8657 (2020).10.1038/s41598-020-65291-8 ↗
16. Lu, H. et al. Mechanical writing of ferroelectric polarization. Science 336, 59–61 (2012).10.1126/science.1218693 ↗
17. Chen, X. et al. Nonvolatile data storage using mechanical force-induced polarization switching in ferroelectric polymer. Appl. Phys. Lett. 106, 042903 (2015).10.1063/1.4906859 ↗
18. Zhang, Q. et al. Deterministic switching of ferroelectric bubble nanodomains. Adv. Funct. Mater. 29, 1808573 (2019).10.1002/adfm.201808573 ↗
19. Bakaul, S. R. et al. Freestanding ferroelectric bubble domains. Adv. Mater. 33, 2105432 (2021).10.1002/adma.202105432 ↗
20. Das, S. et al. Observation of room-temperature polar skyrmions. Nature 568, 368–372 (2019).10.1038/s41586-019-1092-8 ↗
21. Gonçalves, M. P., Escorihuela-Sayalero, C., Garca-Fernández, P., Junquera, J. & Íñiguez, J. Theoretical guidelines to create and tune electric skyrmion bubbles. Sci. Adv. 5, eaau7023 (2019).10.1126/sciadv.aau7023 ↗
22. Das, S. et al. Local negative permittivity and topological phase transition in polar skyrmions. Nat. Mater. 20, 194–201 (2021).10.1038/s41563-020-00818-y ↗
23. Wei, X.-K. et al. Néel-like domain walls in ferroelectric Pb(Zr,Ti)O3 single crystals. Nat. Commun. 7, 12385 (2016).10.1038/ncomms12385 ↗
24. Shafer, P. et al. Emergent chirality in the electric polarization texture of titanate superlattices. Proc. Natl Acad. Sci. USA 115, 915–920 (2018).10.1073/pnas.1711652115 ↗
25. Damodaran, A. et al. Phase coexistence and electric-field control of toroidal order in oxide superlattices. Nat. Mater. 16, 1003–1009 (2017).10.1038/nmat4951 ↗
26. Stoica, V. et al. Optical creation of a supercrystal with three-dimensional nanoscale periodicity. Nat. Mater. 18, 377–383 (2019).10.1038/s41563-019-0311-x ↗
27. Garel, A. Boundary conditions for textures and defects. J. Phys. Fr. 39, 225–229 (1978).10.1051/jphys:01978003902022500 ↗
28. Whitehead, J. An expression of Hopf’s invariant as an integral. Proc. Natl Acad. Sci. USA 33, 117–123 (1947).10.1073/pnas.33.5.117 ↗
29. Thorner, G., Kiat, J.-M., Bogicevic, C. & Kornev, I. Axial hypertoroidal moment in a ferroelectric nanotorus: a way to switch local polarization. Phys. Rev. B 89, 220103 (2014).10.1103/PhysRevB.89.220103 ↗
30. Li, L. et al. Defect-induced hedgehog polarization states in multiferroics. Phys. Rev. Lett. 120, 137602 (2018).10.1103/PhysRevLett.120.137602 ↗
31. Nahas, Y., Prokhorenko, S. & Kornev, I. Interplay between pressure and local symmetry in (Pb1–3/2xLax)(Zr60Ti40) O3: emergence of a relaxor state. Phys. Rev. B 90, 180102 (2014).10.1103/PhysRevB.90.180102 ↗
32. Nahas, Y., Prokhorenko, S., Kornev, I. & Bellaiche, L. Topological point defects in relaxor ferroelectrics. Phys. Rev. Lett. 116, 127601 (2016).10.1103/PhysRevLett.116.127601 ↗
33. Prokhorenko, S., Nahas, Y. & Bellaiche, L. Fluctuations and topological defects in proper ferroelectric crystals. Phys. Rev. Lett. 118, 147601 (2017).10.1103/PhysRevLett.118.147601 ↗
34. Prokhorenko, S., Nahas, Y. & Kornev, I. Finite-temperature properties of (BiFeO3)x(BaTiO3)1−x solid solutions. Phys. Rev. B 90, 140201 (2014).10.1103/PhysRevB.90.140201 ↗
35. Govinden, V. et al. Stability of ferroelectric bubble domains. Phys. Rev. Mater. 7, L011401 (2023).10.1103/PhysRevMaterials.7.L011401 ↗
36. Govinden, V. et al. Controlling topological defect transitions in nanoscale lead zirconate titanate heterostructures. Phys. Rev. Mater. 5, 124205 (2021).10.1103/PhysRevMaterials.5.124205 ↗
37. Chenskii, E. V. & Tarasenko, V. V. Theory of phase transitions into inhomogeneous states in organic ferroelectrics in an external electric field. Sov. Phys. JETP 56, 618–623 (1982).
38. Kornev, I., Fu, H. & Bellaiche, L. Ultrathin films of ferroelectric solid solutions under a residual depolarizing field. Phys. Rev. Lett. 93, 196104 (2004).10.1103/PhysRevLett.93.196104 ↗
39. Nahas, Y. et al. Topology and control of self-assembled domain patterns in low-dimensional ferroelectrics. Nat. Commun. 11, 5779 (2020).10.1038/s41467-020-19519-w ↗
40. Zhu, R. et al. Dynamics of polar skyrmion bubbles under electric fields. Phys. Rev. Lett. 129, 107601 (2022).10.1103/PhysRevLett.129.107601 ↗
41. Hong, Z. & Chen, L.-Q. Blowing polar skyrmion bubbles in oxide superlattices. Acta Mater. 152, 155–161 (2018).10.1016/j.actamat.2018.04.022 ↗
42. Nahas, Y., Prokhorenko, S. & Bellaiche, L. Frustration and self-ordering of topological defects in ferroelectrics. Phys. Rev. Lett. 116, 117603 (2016).10.1103/PhysRevLett.116.117603 ↗
43. Govinden, V., Zhang, Q., Sando, D. & Valanoor, N. Depolarization field tuning of nanoscale ferroelectric domains in (001) PbZr0.4Ti0.6O3/SrTiO3/PbZr0.4Ti0.6O3 epitaxial heterostructures. J. Appl. Phys. 129, 024104 (2021).10.1063/5.0035887 ↗
44. Peng, W. et al. Oxygen vacancy-induced topological nanodomains in ultrathin ferroelectric films. npj Quantum Mater. 6, 48 (2021).10.1038/s41535-021-00349-y ↗
45. Yin, J. et al. Nanoscale bubble domains with polar topologies in bulk ferroelectrics. Nat. Commun. 12, 3632 (2021).10.1038/s41467-021-23863-w ↗
46. Zhuo, F. & Yang, C.-H. Observation of a stable fractionalized polar skyrmion-like texture with giant piezoelectric response enhancement. Phys. Rev. B 102, 214112 (2020).10.1103/PhysRevB.102.214112 ↗
47. Shao, Y.-T. et al. Emergent chirality in a polar meron to skyrmion transition revealed by 4D-STEM. Microsc. Microanal. 27, 348–350 (2021).10.1017/S1431927621001793 ↗
48. Kent, N. et al. Creation and observation of hopfions in magnetic multilayer systems. Nat. Commun. 12, 1562 (2021).10.1038/s41467-021-21846-5 ↗
49. Parkin, S. S., Hayashi, M. & Thomas, L. Magnetic domain-wall racetrack memory. Science 320, 190–194 (2008).10.1126/science.1145799 ↗
50. Sampaio, J., Cros, V., Rohart, S., Thiaville, A. & Fert, A. Nucleation, stability and current-induced motion of isolated magnetic skyrmions in nanostructures. Nat. Nanotechnol. 8, 839–844 (2013).10.1038/nnano.2013.210 ↗
51. Zhang, X., Ezawa, M. & Zhou, Y. Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions. Sci. Rep. 5, 9400 (2015).10.1038/srep09400 ↗
52. Xing, X., Pong, P. W. & Zhou, Y. Skyrmion domain wall collision and domain wall-gated skyrmion logic. Phys. Rev. B 94, 054408 (2016).10.1103/PhysRevB.94.054408 ↗
53. Gruener, W. IBM puts millipede on public display. Tom’s Hardware http://www.tomshardware.com/news/ibm-puts-millipede-public-display,755.html (2005).
54. Lu, D. et al. Synthesis of freestanding single-crystal perovskite films and heterostructures by etching of sacrificial water-soluble layers. Nat. Mater. 15, 1255–1260 (2016).10.1038/nmat4749 ↗
55. Bakaul, S. R. et al. Ferroelectric domain wall motion in freestanding single‐crystal complex oxide thin film. Adv. Mater. 32, 1907036 (2020).10.1002/adma.201907036 ↗
56. Bakaul, S. R. et al. Single crystal functional oxides on silicon. Nat. Commun. 7, 10547 (2016).10.1038/ncomms10547 ↗
57. Bakaul, S. R. et al. High speed epitaxial perovskite memory on flexible substrates. Adv. Mater. 29, 1605699 (2017).10.1002/adma.201605699 ↗
58. Baek, S. et al. Giant piezoelectricity on Si for hyperactive MEMS. Science 334, 958–961 (2011).10.1126/science.1207186 ↗
59. Behera, P. et al. Electric field control of chirality. Sci. Adv. 8, eabj8030 (2022).10.1126/sciadv.abj8030 ↗
60. Dong, S., Liu, J.-M., Cheong, S.-W. & Ren, Z. Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology. Adv. Phys. 64, 519–626 (2015).10.1080/00018732.2015.1114338 ↗
61. Birch, M. et al. Real-space imaging of confined magnetic skyrmion tubes. Nat. Commun. 11, 1726 (2020).10.1038/s41467-020-15474-8 ↗
62. Milde, P. et al. Unwinding of a skyrmion lattice by magnetic monopoles. Science 340, 1076–1080 (2013).10.1126/science.1234657 ↗
63. Louis, L., Kornev, I., Geneste, G., Dkhil, B. & Bellaiche, L. Novel complex phenomena in ferroelectric nanocomposites. J. Phys. Condens. Matter 24, 402201 (2012).10.1088/0953-8984/24/40/402201 ↗
64. Scase, M. M. & Terry, H. L. Spherical vortices in rotating fluids. J. Fluid Mech. 846, R4 (2018).10.1017/jfm.2018.334 ↗