Translation domains in multiferroics

Phase Transitions

Volumn 86, Issue 1, 2013, Pages 33-52

  Meier, D ^a,b   Lilienblum, M ^c   Becker, P ^d   Bohaty L ^d   Spaldin, N A ^c   Ramesh, R ^a,b,e   Fiebig, M ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of California Berkeley   (United States)

^c ETH ZURICH   (Switzerland)

^d UNIVERSITY OF COLOGNE   (Germany)

^e LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

Antiferromagnetic; Domains; Improper ferroelectric; Multiferroics; Order parameter

Indexed keywords

ANTIFERROMAGNETICS; IMPROPER FERROELECTRICS; MAGNETIC TRANSLATION; MULTIFERROICS; OPTICAL SECOND HARMONIC GENERATION; ORDER PARAMETER; PIEZORESPONSE FORCE MICROSCOPY; STRUCTURAL TRANSLATION;

ANTIFERROMAGNETISM; FERROELECTRICITY; SCANNING PROBE MICROSCOPY; STABILITY CRITERIA;

MAGNETIC DOMAINS;

EID: 84881269440     PISSN: 01411594     EISSN: 10290338     Source Type: Journal    
DOI: 10.1080/01411594.2012.696116     Document Type: Article

References (65)

1. 3, Phys. Rev. 88(1952), pp. 412-422.
2. V. K. Wadhawan, Introduction to Ferroic Materials, Gordon & Breach, Amsterdam, 2000.
3. A. Hubert and R. Schäfer, Magnetic domains: The Analysis of Magnetic Microstructures, Springer, Berlin, 1998.
4. A. K. Tagantsev, L. E. Cross, and J. Fousek, Domains in Ferroic Crystals and Thin Films, Springer, Berlin, 2010.
5. F. C. Nix and W. Shockley, Order-disorder transformation in alloys, Rev. Mod. Phys. 10(1938), pp. 1-71.
6. V. Dvorak, V. Janovec, and Y. Ishibashi, Symmetry of macroscopic properties of incommensurate structures, J. Phys. Soc. Japan 52(1983), pp. 2053-2061.
7. C. F. Majkrzak, J. W. Cable, J. Kwo, M. Hong, D. B. McWhan, Y. Yafet, J. V. Waszczak, and C. Vettier, Observation of a magnetic antiphase domain structure with long-range order in a synthetic Gd-Y superlattice, Phys. Rev. Lett. 56(1986), pp. 2700-2703.
8. 4 Films, Phys. Rev. Lett. 79(1997), pp. 5162-5165.
9. 3, J. Appl. Phys. 44(1973), pp. 938-944.
10. W. Schranz and I. Rychetsky, Domains and domain wall interactions near the improper ferroelastic phase transition of KSCN, J. Phys.: Condens. Matter 5(1993), pp. 3871-3882.
11. H. Schmid, Multi-ferroic magnetoelectrics, Ferroelectrics 162(1994), pp. 317-338.
12. M. Fiebig, Revival of the magnetoelectric effect, J. Phys. D: Appl. Phys. 38(2005), pp. R123-R152.
13. M. Fiebig, Th. Lottermoser, D. Fröhlich, A. V. Goltsev, and R. V. Pisarev, Observation of coupled magnetic and electric domains, Nature 419(2002), pp. 818-820.
14. D. Meier, M. Maringer, Th. Lottermoser, P. Becker, L. Bohatý, and M. Fiebig, Observation and coupling of domains in a spin-spiral multiferroic, Phys. Rev. Lett. 102(2009), p. 107202.
15. M. Bibes and A. Barthélémy, Towards a magnetoelectric memory, Nat. Mater. 7(2008), pp. 425-426.
16. J. C. Tolédano and P. Tolédano, The Landau Theory of Phase Transitions, World Scientific, Singapore, 1987.
17. P. Tolédano and V. Dmitriev, Reconstructive Phase Transitions: In Crystals and Quasicrystals, World Scientific, Singapore, 1996.
18. 3, J. Appl. Phys. 36(1965), pp. 1099-1100.
19. S. van Smaalen, Incommensurate Crystallography, Oxford University Press, Oxford, 2007.
20. P. M. De Wolff, The pseudo-symmetry of modulated crystal structures, Acta. Cryst. A 30(1974), pp. 777-785.
21. P. M. De Wolff, Symmetry operations for displacively modulated structures, Acta. Cryst. A 33(1977), pp. 493-496.
22. T. Janssen and A. Janner, Incommensurability in crystals, Adv. Phys. 36(1987), pp. 519-624.
23. 3, Nat. Mater. 3(2004), pp. 164-170.
24. 3, Nat. Mater. 9(2010), pp. 253-257.
25. 3, Appl. Phys. Lett. 97(2010), p. 012904.
26. Th. Lonkai, D. G. Tomuta, U. Amann, J. Ihringer, R. W. A. Hendrikx, D. M. Többens, and J. A. Mydosh, Development of the high-temperature phase of hexagonal manganites, Phys. Rev. B 69(2004), p. 134108.
27. 3 from first principles, Phys. Rev. B 72(2005), p. 100103 (R).
28. 3, J. Phys.: Condens. Matter 19(2007), p. 466212.
29. 3, preprint (2010). Available at arXiv, cond-mat, 1008.3042.vl.
30. 3, Sov. Phys. Solid State 7(1965), pp. 236-238.
31. G. A. Smolenskii and I. E. Chupis, Ferroelectromagnets, Sov. Phys. Usp. 25(1982), pp. 475-493.
32. Y. Kumagai, A. A. Belik, M. Lilienblum, N. Leo, M. Fiebig, and N. A. Spaldin, Persistent centrosymmetricity in the hexagonal manganite family, Phys. Rev. B 85(2012), p. 174422.
33. M. I. Aroyo, J. M. Perez-Mato, D. Orobengoa, E. Tasci, G. de la Flor, and A. Kirov, Crystallography online: Bilbao Crystallographic Server, Bulg. Chem. Commun. 43(2011), pp. 183-197.
34. M. I. Aroyo, J. M. Perez-Mato, C. Capillas, E. Kroumova, S. Ivantchev, G. Madariaga, A. Kirov, and H. Wondratschek, Bilbao Crystallographic Server I: Databases and crystallographic computing programs, Z. Krist. 221(2006), pp. 15-27.
35. M. I. Aroyo, A. Kirov, C. Capillas, J. M. Perez-Mato, and H. Wondratschek, Bilbao Crystallographic Server II: Representations of crystallographic point groups and space groups, Acta Cryst. A 62(2006), pp. 115-128.
36. S. Artyukhin, K. T. Delaney, N. A. Spaldin, and M. Mostovoy, Landau theory of topological defects in multiferroic hexagonal manganites, preprint (2012). Available at arXiv, cond-mat, 1204.4126vl.
37. D. Meier, N. Leo, Th. Lottermoser, P. Becker, L. Bohaty, and M. Fiebig, Imaging of hybridmultiferroic and translation domains in a spin-spiral ferroelectric, Mater. Res. Soc. Symp. Proc. 1199(2010), pp. 1199-F02-07.
38. 4 studied by the use of neutron diffraction, Phys. Rev. B 48(1993), pp. 6087-6098.
39. 4: Magnetic sources of the electric polarization, J. Phys.: Condens. Matter 22(2010), p. 065901.
40. 6, Phys. Rev. B 81(2010), p. 214417.
41. 3, Czech. J. Phys. B 17(1967), pp. 559-560.
42. A. S. Oleinik and V. A. Bokov, Observation of ferroelectric domain structure using a scanning electron microscope, Sov. Phys. Solid State 17(1975), pp. 560-562.
43. T. Katsufuji, S. Mori, M. Masaki, Y. Moritomo, N. Yamamoto, and H. Takagi, Dielectric and magnetic anomalies and spin frustration in hexagonal RMnOj (R= Y, Yb, and Lu), Phys. Rev. B 64(2001), p. 104419.
44. 3, Phys. Rev. B 79(2009), p. 100107 (R).
45. 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(2012), pp. 284-288.
46. W. Wu, Y. Horibe, N. Lee, S.-W. Cheong, and J. R. Guest, Conduction of topologically protected charged ferroelectric domain walls, Phys. Rev. Lett. 108(2012), p. 077203.
47. P. Guthner and K. Dransfeld, Local poling of ferroelectric polymers by scanning force microscopy, Appl. Phys. Lett. 61(1992), p. 1137.
48. M. Alexe and A. Gruverman (eds), Nanoscale Characterisation of Ferroelectric Materials, Springer, Berlin, 2004.
49. T. Jungk, Á. Hoffmann, and E. Soergel, Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy, New. J. Phys. 11(2009), p. 033029.
50. M. Fiebig, V. V. Pavlov, and R. V. Pisarev, Second-harmonic generation as a tool for studying electronic and magnetic structures of crystals, J. Opt. Soc. Am. B 22(2005), pp. 96-118.
51. P. S. Pershan, Nonlinear optical properties of solids: Energy considerations, Phys. Rev. 130(1963), pp. 919-929.
52. D. Sa, R. Valentí, and C. Gros, A generalized Ginzburg-Landau approach to second harmonic generation, Eur. Phys. J. B 14(2000), pp. 301-305.
53. Th. Lottermoser, D. Meier, R. V. Pisarev, and M. Fiebig, Giant coupling of second-harmonic generation to a multiferroic polarization, Phys. Rev. B 80(2009), p. 100101 (R).
54. 5, Phys. Rev. B 85(2012), p. 094408.
55. G. Berkovic, Y. R. Shen, G. Marowsky, and R. Steinhoff, Interference between second-harmonic generation from a substrate and from an adsorbate layer, J. Opt. Soc. Am. B 6(1989), pp. 205-208.
56. K. Kemnitz, K. Bhattacharya, J. M. Hicks, G. R. Pinto, K. B. Eisental, and T. F. Heinz, The phase of second-harmonic light generated at an interface and its relation to absolute molecular orientation, Chem. Phys. Lett. 131(1986), pp. 285-290.
57. M. Fiebig, D. Fröhlich, St. Leute, and P. V. Pisarev, Topography of antiferromagnetic domains using SHG with an external reference, Appl. Phys. B 66(1998), pp. 265-270.
58. M. Fiebig, D. Fröhlich, Th. Lottermoser, and S. Kallenbach, Phase-resolved second-harmonic imaging with non-ideal laser sources, Opt. Lett. 29(2004), pp. 41-43.
59. S. M. Griffin, M. Lilienblum, K. Delaney, Y. Kumagai, M. Fiebig, and N. A. Spaldin, From multiferroics to cosmology: Scaling behaviour and beyond in the hexagonal manganites, preprint (2012). Availablet at arXiv, cond-mat, 1204.3785.vl.
60. S. C. Chae, Y. Horibe, D. Y. Jeong, S. Rodan, N. Lee, and S.-W. Cheong, Self-organization, condensation, and topological vortices and antivortices, Proc. Natl. Acad. Sei. 107(2010), p. 21366.
61. 2 structure, Phys. Rev. B 26(1982), pp. 206-218.
62. V. Janovec, Linear defects in incommensurate phases, Phys. Lett. 99 A (1983), pp. 384-386.
63. 4 single crystals, Laser Phys. Lett. 4(2007), pp. 884-889.
64. 4, Phys. Rev. B 82(2010), p. 155112.
65. 3, Phys. Rev. B 70(2004), p. 220407 (R).