Polarization closure in PbZr(0.42)Ti(0.58)O 3 nanodots

Nano Letters

Volumn 11, Issue 10, 2011, Pages 4490-4495

  McGilly, L J ^a   Gregg, J M ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

domains; Ferroelectrics; flux closure; nanodots; needle domains; transmission electron microscopy

Indexed keywords

CHARGED DOMAIN WALL; CLOSED LOOPS; DARK FIELD IMAGING; DIPOLE ORIENTATION; DOMAIN STATE; FOUR QUADRANT; NANODOTS; SOFT FERROMAGNETIC; STRIPE DOMAIN; TRANSMISSION ELECTRON;

DOMAIN WALLS; FERROELECTRIC MATERIALS; FERROELECTRICITY; TRANSMISSION ELECTRON MICROSCOPY;

POLARIZATION;

EID: 80054016993     PISSN: 15306984     EISSN: 15306992     Source Type: Journal    
DOI: 10.1021/nl2031103     Document Type: Article

References (43)

1. Kittel, C. Theory of the Structure of Ferromagnetic Domains in Films and Small Particles Phys. Rev. 1946, 70, 965
2. Kittel, C. Physical theory of ferromagnetic domains Rev. Mod. Phys. 1949, 21, 541
3. Özdemir, Ö.; Xu, S.; Dunlop, D. J. Closure domains in magnetite J. Geophys. Res. 1995, 100, 2193
4. Runge, K.; Nozaki, Y.; Otani, Y.; Miyajima, H.; Pannetier, B.; Matsuda, T.; Tonomura, A. High-resolution observation of magnetization processes in 2 μ×2 μ m×0.04 μ permalloy particles J. Appl. Phys. 1996, 79, 5075
5. Jubert, P.-O.; Toussaint, J.-C.; Fruchart, O.; Meyer, C.; Samson, Y. Flux-closure-domain states and demagnetizing energy determination in sub-micron size magnetic dots Europhys. Lett. 2003, 63, 132
6. Naumov, I. I.; Bellaiche, L.; Fu, H. Unusual phase transitions in ferroelectric nanodisks and nanorods Nature 2004, 432, 737
7. Prosandeev, S.; Ponomareva, I.; Kornev, I.; Naumov, I.; Bellaiche, L. Controlling toroidal moment by means of an inhomogeneous static field: An ab initio study Phys. Rev. Lett. 2006, 96, 237601
8. Xue, F.; Gao, X. S.; Liu, J.-M. Monte Carlo simulation on the size effect in ferroelectric nanostructures J. Appl. Phys. 2009, 106, 114103
9. Münch, I.; Huber, J. E. A hexadomain vortex in tetragonal ferroelectrics Appl. Phys. Lett. 2009, 95, 022913
10. 3 Nanoparticles Phys. Rev. Lett. 2011, 106, 137601
11. Wang, J. Switching mechanism of polarization vortex in single-crystal ferroelectric nanodots Appl. Phys. Lett. 2011, 97, 192901
12. Gruverman, A.; Wu, D.; Fan, H.-J.; Vrejoiu, I.; Alexe, M.; Harrison, R. J.; Scott, J. F. Vortex ferroelectric domains J. Phys.: Condens. Matter 2008, 20, 342201
13. Rodriguez, B. J.; Gao, X. S.; Liu, L. F.; Lee, W.; Naumov, I. I.; Bratkovsky, A. M.; Hesse, D.; Alexe, M. Vortex polarization states in nanoscale ferroelectric arrays Nano Lett. 2009, 9, 1127
14. 3 Lamellae: Searching for Naturally Forming Dipole Flux-Closure/Quadrupole Chains Nano Lett. 2010, 10, 4200
15. Ivry, Y.; Chu, D. P.; Scott, J. F.; Durkan, C. Flux Closure Vortexlike Domain Structures in Ferroelectric Thin Films Phys. Rev. Lett. 2010, 104, 207602
16. Balke, N.; Choudhury, S.; Jesse, S.; Huijben, M.; Chu, Y. H.; Baddorf, A. P.; Chen, L. Q.; Ramesh, R.; Kalinin, S. V. Deterministic control of ferroelastic switching in multiferroic materials Nat. Nanotechnol. 2009, 4, 868
17. Nelson, C. T.; Winchester, B.; Zhang, Yi.; Kim, S.-J.; Melville, A.; Adamo, C.; Folkman, C. M.; Baek, S.-H.; Eom, C.-B.; Schlom, D. G.; Chen, L.-Q.; Pan, X. Spontaneous Vortex Nanodomain Arrays at Ferroelectric Heterointerfaces Nano Lett. 2011, 11, 828
18. 3 Science 2011, 331, 1420
19. 3 Nat. Commun. 2011, 2, 404 10.1038/ncomms1413
20. 3 Thin Films ACS Nano 2011, 5, 879
21. Mermin, N. D. The topological theory of defects in ordered media Rev. Mod. Phys. 1979, 51, 591
22. Jaffe, B.; Cook, W. R.; Jaffe, H. Piezoelectric Ceramics; Academic: London, 1971; p 136.
23. 3 solid solution Appl. Phys. Lett. 1999, 74, 2059
24. Fu, H.; Cohen, R. E. Polarization rotation mechanism for ultrahigh electromechanical response in single-crystal piezoelectrics Nature 2000, 403, 281
25. Rossetti, G. A., Jr.; Khachaturyan, A. G.; Akcay, G.; Ni, Y. Ferroelectric solid solutions with morphotropic boundaries: Vanishing polarization anisotropy, adaptive, polar glass, and two-phase states J. Appl. Phys. 2008, 103, 114113
26. Damjanovic, D. A morphotropic phase boundary system based on polarization rotation and polarization extension Appl. Phys. Lett. 2010, 97, 062906
27. Schilling, A.; Byrne, D.; Catalan, G.; Weber, K.; Genenko, Y.; Wu, G.; Scott, J. F.; Gregg, J. M. Domains in Ferroelectric Nanodots Nano Lett. 2009, 9, 3359
28. Schilling, A.; Prosandeev, S.; McQuaid, R. G. P.; Bellaiche, L.; Scott, J. F.; Gregg, J. M. Shape-induced phase transition of domain patterns in ferroelectric platelets Phys. Rev. B 2011, 84, 064110
29. Luo, Y.; Szafraniak, I.; Zakharov, N. D.; Nagarajan, V.; Steinhart, M.; Wehrspohn, R. B.; Wendorff, J. H.; Ramesh, R.; Alexe, M. Nanoshell tubes of ferroelectric lead zirconate titanate and barium titanate Appl. Phys. Lett. 2003, 83, 440
30. Zhu, X. H.; Evans, P. R.; Byrne, D.; Schilling, A.; Douglas, C.; Pollard, R. J.; Bowman, R. M.; Gregg, J. M.; Morrison, F. D.; Scott, J. F. Perovskite lead zirconium titanate nanorings: Towards nanoscale ferroelectric "solenoids"? Appl. Phys. Lett. 2006, 89, 122913
31. Byrne, D.; Schilling, A.; Scott, J. F.; Gregg, J. M. Ordered arrays of lead zirconium titanate nanorings Nanotechnology 2008, 19, 165608
32. Nonnenmann, S. S.; Gallo, E. M.; Coster, M. T.; Soja, G. R.; Johnson, C. L.; Joseph, R. S.; Spanier, J. E. Piezoresponse through a ferroelectric nanotube wall Appl. Phys. Lett. 2009, 95, 232903
33. Nguyen, T. D.; Nagarah, J. M.; Qi, Y.; Nonnenmann, S. S.; Morozov, A. V.; Li, S.; Arnold, C. B.; McAlpine, M. C. Wafer-Scale Nanopatterning and Translation into High-Performance Piezoelectric Nanowires Nano Lett. 2010, 10, 4595
34. -2 density Nat. Nanotechnol. 2008, 3, 402
35. 3 Nanowires Adv. Mater. 2005, 17, 907
36. Lin, Y.; Liu, Y.; Sodano, H. A. Hydrothermal synthesis of vertically aligned lead zirconate titanate nanowire arrays Appl. Phys. Lett. 2009, 95, 122901
37. 3 nanowires Appl. Phys. Lett. 2007, 90, 133107
38. Wang, J.; Sandu, C. S.; Setter, N. Large-Scale Fabrication of Titanium-Rich Perovskite PZT Submicro/Nano Wires and Their Electromechanical Properties IEEE Trans. Ultrason. Ferroelectr. Freq. Control 2009, 56, 1813
39. 3 nanowires Appl. Phys. Lett. 2007, 90, 052902
40. Shakmanov, V. V.; Spivak, G. V. A Microdiffraction Investigation of the Domain Structure in Barium Titanate Films Sov. Phys. Solid State 1968, 10, 802
41. nd ed.; Springer: New York, 2009.
42. Salje, E. K. H.; Ishibashi, Y. Mesoscopic structures in ferroelastic crystals: needle twins and right-angled domains J. Phys.: Condens. Matter 1996, 8, 8477
43. Srolovitz, D. J.; Scott, J. F. Clock-model description of incommensurate ferroelectric film and of nematic-liquid-crystal films Phys. Rev. B 1986, 34, 1815