Exotic domain states in ferroelectrics: Searching for vortices and skyrmions

Ferroelectrics

Volumn 433, Issue 1, 2012, Pages 74-87

  Gregg, J M ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN STATE; SKYRMIONS;

FERROELECTRIC MATERIALS; FERROELECTRICITY;

VORTEX FLOW;

EID: 84866862966     PISSN: 00150193     EISSN: 15635112     Source Type: Journal    
DOI: 10.1080/00150193.2012.678131     Document Type: Review

References (50)

1. N. D. Mermin, The topological theory of defects in ordered media. Rev. Mod. Phys. 51, 591 (1979).
2. C. Kittel, Theory of the structure of ferromagnetic domains in films and small particles. Phys. Rev. 70, 965 (1946)
3. C. Kittel, Physical theory of ferromagnetic domains. Rev. Mod.Phys. 21, 541 (1949).
4. L. Landau and E. Lifshitz, Theory of the dispersion of magnetic permeability in ferromagnetic bodies. Physik. Zeits. Sowjetunion 8, 153 (1935).
5. E. Lifshitz, On the magnetic structure of iron. J. Phys. U.S.S.R. 8, 337 (1944).
6. K. Runge, Y. Nozaki, Y. Otani, H. Miyajima, B. Pannetier, T. Matsuda, and A. Tonomura, High-resolution observation of magnetization processes in 2 m 2 m 0.04 m permalloy particles. J. Appl. Phys. 79, 5075 (1996).
7. R. D. Gomez, T. V. Luu, A. O. Pak, K. J. Kirk, and J. N. Chapman, Domain configurations of nanostructured permalloy elements. J. Appl. Phys. 85, 6163 (1999).
8. T. Shinjo, T. Okuno, R. Hassdorf, K. Shigeto, and T. Ono, Magnetic vortex core observation in circular dots of permalloy. Science 289, 930 (2000).
9. A. Wachowiak et al., Direct observation of internal spin structure of magnetic vortex cores. Science 298, 577-580 (2002).
10. P.-O. Jubert, J.-C. Toussaint, O. Fruchart, C. Meyer, and Y. Samson, Flux-closure-domain states and demagnetizing energy determination in sub-micron size magnetic dots. Europhys. Lett. 63, 132 (2003).
11. O. Ozdemir, S. Xu, and D. J. Dunlop, Closure domains in magnetite. J. Geophys. Res. 100, 2193 (1995).
12. R. J. Harrison, R. E. Dunin-Borkowski, and A. Putnis, Direct imaging of nanoscale magnetic interactions in minerals. Proc. Natl. Acad. Sci. U.S.A. 99, 16561 (2002).
13. S.-B. Choe, Y. Acremann, A. Scholl, A. Bauer, A. Doran, J. Stohr, and H. A. Padmore, Vortex core-driven magnetization dynamics. Science 304, 420 (2004).
14. F. Q. Zhu, G. W. Chern, O. Tchernyshyov, X. C. Zhu, and C. L. Chien, Magnetic bistability and controllable reversal of asymmetric ferromagnetic nanorings. Phys. Rev. Lett. 96, 027205 (2006).
15. X. Z. Yu, Y. Onose, N. Kanazawa, J. H. Park, J. H. Han, Y. Matsui, N. Nagaosa, and Y. Tokura, Real-space observation of a two-dimensional skyrmion crystal. Nature 465, 901 (2010).
16. H. Fu and L. Bellaiche, Ferroelectricity in barium titanate quantum dots and wires. Phys. Rev. Lett. 91, 257601 (2003).
17. I. Kornev, H. Fu, and L. Bellaiche, Ultrathin films of ferroelectric solid solutions under a residual depolarizing field. Phys. Rev. Lett. 93, 196104 (2004).
18. I. I. Naumov, L. Bellaiche, and H. Fu, Unusual phase transitions in ferroelectric nanodisks and nanorods. Nature 432, 737 (2004).
19. S. Prosandeev, I. Ponomareva, I. Kornev, I. Naumov, and L. Bellaiche, Controlling toroidal moment by means of an inhomogeneous static field: An ab initio study. Phys. Rev. Lett. 96, 237601 (2006).
20. F. Xue, X. S. Gao, and J.-M. Liu, Monte Carlo simulation on the size effect in ferroelectric nanostructures. J. Appl. Phys. 106, 114103 (2009).
21. I. Munch and J. E. Huber, A hexadomain vortex in tetragonal ferroelectrics. Appl. Phys. Lett. 95, 022913 (2009).
22. M. G. Stachiotti andM. Sepliarsky, Toroidal ferroelectricity in PbTiO3 nanoparticles. Phys. Rev. Lett. 106, 137601 (2011).
23. J. Wang, Switching mechanism of polarization vortex in single crystal ferroelectric nanodots. Appl. Phys. Lett. 97, 192901 (2011).
24. A. Gruverman, D. Wu, H.-J. Fan, I. Vrejoiu, M. Alexe, R. J. Harrison, and J. F. Scott, Vortex ferroelectric domains. J. Phys.: Condens. Matter 20, 342201 (2008).
25. M. Dawber, D. J. Jung, and J. F. Scott, Perimeter effect in very small ferroelectrics. Appl. Phys. Lett. 82, 436 (2003).
26. Laurent Baudry, Anais Sene, Igor A. Luk'yanchuk, and Laurent Lahoche, Thin Solid Films 519, 5808 (2011).
27. Anais Seńe, Theory of Domains and Non-Uniform Texture in Ferroelectrics, PhD Thesis, University of Picardie Jules Verne (2010).
28. B. J. Rodriguez, X. S. Gao, L. F. Liu, W. Lee, I. I. Naumov, A. M. Bratkovsky, D. Hesse, and M. Alexe, Vortex polarization states in nanoscale ferroelectric arrays. Nano Lett. 9, 1127 (2009).
29. H. Zhijun, T. Mingwen, B.Nysten, andA.M. Jonas, Regular arrays of highly ordered ferroelectric polymer nanostructures for non-volatile low-voltage memories. Nat. Mat. 8, 62 (2008).
30. A. Schilling, D. Byrne, G. Catalan, K. Weber, Y. Genenko, G. Wu, J. F. Scott, and J. M. Gregg, Domains in ferroelectric nanodots. Nano Lett. 9, 3359 (2009).
31. A. Schilling, S. Prosandeev, R. G. P. McQuaid, L. Bellaiche, J. F. Scott, and J. M. Gregg, Shapeinduced phase transition of domain patterns in ferroelectric platelets. Phys. Rev. B 84, 064110 (2011).
32. R. K. Vasudevan, Y.-C. Chen, H.-H. Tai, N. Balke, P.Wu, S. Bhattacharya, L. Q. Chen, Y.-H. Chu, I.-N. Lin, S. V. Kalinin, and V. Nagarajan, Exploring topological defects in epitaxial BiFeO3 thin films. ACS Nano 5, 879 (2011).
33. L. J. McGilly and J. M. Gregg, Polarisation closure in PbZr(0.42)Ti(0.58)O3 nanodots. Nano Lett. 11, 4490 (2011).
34. Y. Ivry, D. P. Chu, J. F. Scott, and C. Durkan, Flux closure vortexlike domain structures in ferroelectric thin films. Phys. Rev. Lett. 104, 207602 (2010).
35. L. J. McGilly and J. M. Gregg, Scaling of superdomain bands in ferroelectric dots. Appl. Phys. Lett. 98, 132902 (2011).
36. R. G. P. McQuaid, L. J. McGilly, P. Sharma, A. Gruverman, and J. M. Gregg, Mesoscale fluxclosure domain formation in single-crystal BaTiO3. Nat. Commun. 2, 404 (2011).
37. N. Balke, S. Choudhury, S. Jesse, M. Huijben, Y. H. Chu, A. P. Baddorf, L. Q. Chen, R. Ramesh, and S. V. Kalinin, Deterministic control of ferroelastic switching in multiferroic materials. Nat. Nanotechnol. 4, 868 (2009).
38. L. J. McGilly, A. Schilling, and J.M. Gregg, Domain bundle boundaries in single crystal BaTiO3 lamellae: Searching for naturally forming dipole flux-closure/quadrupole chains. Nano Lett. 10, 4200 (2010).
39. C.-L. Jia, K. W. Urban, M. Alexe, D. Hesse, and I. Vrejoiu, Direct observation of continuous electric dipole rotation in flux-closure domains in ferroelectric Pb(Zr, Ti)O3. Science 331, 1420 (2011).
40. C. T. Nelson, B.Winchester, Yi Zhang, S.-J. Kim, A.Melville, C. Adamo, C. M. Folkman, S.-H. Baek, C.-B. Eom, D. G. Schlom, L.-Q. Chen, and X. Pan, Spontaneous vortex nanodomain arrays at ferroelectric heterointerfaces. Nano Lett. 11, 828 (2011).
41. J. Seidel et al., Conduction at domain walls in oxide multiferroics. Nat. Mat. 8, 229 (2009).
42. A. Lubk, S. Gemming, and N. A. Spaldin, First principles study of ferroelectric domain walls in multiferroic bismuth ferrite. Phys. Rev. B 80, 104110 (2009).
43. Y.-P. Chiu et al., Atomic-scale evolution of local electronic structure across multiferroic domain walls. Advanced Materials 23, 1530 (2011).
44. E. K. H. Salje, Multiferroic domain boundaries as active memory devices: Trajectories towards domain boundary engineering. Chem. Phys. Chem. 11, 940 (2010).
45. S. Van Aert, S. Turner, R. Delville, D. Schryvers, G. V. Tendeloo, and E. K. H. Salje, Direct observation of ferrielectricity at ferroelastic domain boundaries in CaTiO3 by electron microscopy. Adv. Mater. DOI: 10.1002/adma.201103717 (2011) online only at present.
46. A. Aird and E. K. H. Salje, Sheet superconductivity in twin walls: experimental evidence of WO3-x. J. Phys. Cond. Matt. 10, L377 (1998).
47. S. Farokhipoor and B. Noheda, Conduction through, 71 domain walls in BiFeO3. Phys. Rev. Lett. 107, 127601 (2011).
48. J. Guyonnet, I. Gaponenko, S. Gariglio, and P. Paruch, Conduction at domain walls in insulating Pb(Zr0.2Ti0.8)O3 thin films. Adv. Mat. 23, 5377 (2011).
49. T. Choi, Y. Horibe, H. T. Yi, Y. J. Choi, W. D. Wu, and S.-W. Cheong, Insulating interlocked ferroelectric and structural antiphase domain walls in multiferroic YMnO3. Nat. Mat. 9, 253 (2010).
50. N. Balke et al., Enhanced electric conductivity at ferroelectric vortex cores in BiFeO3. Nature Physics, 8, 81 (2012).