Landau theory of topological defects in multiferroic hexagonal manganites

Nature Materials

Volumn 13, Issue 1, 2014, Pages 42-49

  Artyukhin, Sergey ^a,b   Delaney, Kris T ^c   Spaldin, Nicola A ^d   Mostovoy, Maxim ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b RUTGERS UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC DOMAINS; ELECTRIC POLARIZATION; ELECTRIC-FIELD CONTROL; FERROELECTRIC DOMAINS; FERROMAGNETIC DOMAIN WALLS; FIRST-PRINCIPLES CALCULATION; MAGNETIC FIELD FLUX; STRUCTURAL ORDER PARAMETER;

CALCULATIONS; DEFECTS; ELECTRIC PROPERTIES; FERROELECTRICITY; MAGNETIC MOMENTS; MANGANITES; TOPOLOGY; VORTEX FLOW;

FERROELECTRIC MATERIALS;

EID: 84890555071     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat3786     Document Type: Article

References (47)

1. Cheong, S-W. & Mostovoy, M. Multiferroics: A magnetic twist for ferroelectricity. Nature Mater. 6, 13-20 (2007). (Pubitemid 46043268)
2. Ramesh, R. & Spaldin, N. A. Multiferroics: Progress and prospects in thin films. Nature Mater. 6, 21-29 (2007). (Pubitemid 46043269)
3. Khomskii, D. Trend: Classifying multiferroics: Mechanisms and effects. Physics 2, 20 (2009).
4. Kimura, T. et al. Magnetic control of ferroelectric polarization. Nature 426, 55-58 (2003). (Pubitemid 37441280)
5. Hur, N. et al. Electric polarization reversal and memory in a multiferroic material induced by magnetic fields. Nature 429, 392-395 (2004). (Pubitemid 38720172)
6. Kitagawa, Y. et al. Low-field magnetoelectric effect at room temperature. Nature Mater. 9, 797-802 (2010).
7. 3. Nature Mater. 3, 164-170 (2004).
8. 3. Phys. Rev. B 71, 014113 (2005).
9. 3 single crystals at room temperature. Phys. Rev. Lett. 100, 227602 (2008).
10. Chu, Y-H. et al. Electric-field control of local ferromagnetism using a magnetoelectric multiferroic. Nature Mater. 7, 478-482 (2008). (Pubitemid 351735881)
11. 3. Phys. Rev. Lett. 103, 257601 (2009).
12. Skumryev, V. et al. Magnetization reversal by electric-field decoupling of magnetic and ferroelectric domain walls in multiferroic-based heterostructures. Phys. Rev. Lett. 106, 057206 (2011).
13. Fennie, C. J. Ferroelectrically induced weak ferromagnetism by design. Phys. Rev. Lett. 100, 167203 (2008).
14. Fiebig, M., Lottermoser, Th., Fröhlich, D., Goltsev, A. V. & Pisarev, R. V. Observation of coupled magnetic and electric domains. Nature 419, 818-820 (2002). (Pubitemid 35238563)
15. Yakel, H. L., Koehler, W. C., Bertaut, E. F. & Forrat, E. F. On the crystal structure of the manganese(III) trioxides of the heavy lanthanides and yttrium. Acta Crystallogr. 16, 957-962 (1963).
16. 3 (RDY, Yb, and Lu). Phys. Rev. B 64, 104419 (2001).
17. 3 from first principles. Phys. Rev. B 72, 100103 (2005).
18. 3: Thermal expansion anomalies and pressure effect. Phys. Rev. B 71, 060407 (2005).
19. Lee, S. et al. Giant magneto-elastic coupling in multiferroic hexagonal manganites. Nature 451, 805-808 (2008).
20. 3. J. Phys.: Condens. Matter 21, 496002 (2009).
21. 3. Phys. Rev. Lett. 90, 177204 (2003).
22. 3. J. Phys. Condens. Matter 15, L103-L109 (2003).
23. Hanamura, E. & Tanabe, Y. Ferroelectric and antiferromagnetic domain wall. J. Phys. Soc. Jpn. 72, 2959-2966 (2003).
24. 3. Nature Mater. 9, 253-258 (2010).
25. Chae, S. C. et al. Self-organization, condensation, and annihilation of topological vortices and antivortices in a multiferroic. Proc. Natl Acad. Sci. USA 107, 21366-21370 (2010).
26. 3. Appl. Phys. Lett. 97, 012904 (2010).
27. Lilienblum, M., Soergel, E. & Fiebig, M. J. Manipulation of ferroelectric vortex domains in hexagonal manganites. J. Appl. Phys. 110, 052007 (2011).
28. Mostovoy, M. Multiferroics: A whirlwind of opportunities. Nature Mater. 9, 188-190 (2010).
29. Kumagai, Y. & Spaldin, N. Structural domain walls in polar hexagonal manganites. Nature Commun. 4, 1540 (2013).
30. Chaikin, P. M. & Lubensky, T. C. Principles of Condensed Matter Physics (Cambridge Univ. Press, 1995).
31. Kaski, K., Grant, M. & Gunton, J. D. Domain growth in the clock model. Phys. Rev. B 31, 3040-3047 (1985).
32. Grest, G. S., Anderson, M. P. & Srolovitz, D. J. Domain-growth kinetics for the Q-state Potts model in two and three dimensions. Phys. Rev. B 38, 4752-4760 (1988).
33. Fong, D. D. et al. Ferroelectricity in ultrathin perovskite films. Science 304, 1650-1653 (2004). (Pubitemid 38765852)
34. 3 by focused ion beam. J. Appl. Phys. 109, 014104 (2011).
35. 3. J. Appl. Phys. 93, 8194-8196 (2003).
36. 3. Phys. Rev. B 68, 014432 (2003).
37. 3. Phys. Rev. Lett. 104, 147204 (2010).
38. Geng, Y., Lee, N., Choi, Y. J., Cheong, S-W. & Wu, W. Collective magnetism at multiferroic vortex domain walls. Nano Lett. 12, 6055-6059 (2012).
39. 3 (RDHo, Er, Yb or Lu). J. Phys. Soc. Jpn. 71, 1558-1564 (2002).
40. Gonze, X. et al. First-principles computation of material properties: The ABINIT software project. Comput. Mater. Sci. 25, 478-492 (2002). (Pubitemid 35251749)
41. Gonze, X. et al. A brief introduction to the ABINIT software package. Z. Kristallogr. 220, 558-562 (2005). (Pubitemid 40778240)
42. Torrent, M., Jollet, F., Bottin, F., Zerah, G. & Gonze, X. Implementation of the projector augmented-wave method in the ABINIT code: Application to the study of iron under pressure. Comput. Mater. Science 42, 337-351 (2008). (Pubitemid 351335267)
43. Perdew, J. P. & Wang, Y. Accurate and simple analytic representation of the electron-gas correlation energy. Phys. Rev. B 45, 13244-13249 (1992).
44. Amadon, B., Jollet, F. & Torrent, M. and - cerium: LDA+U calculations of ground-state parameters. Phys. Rev. B 77, 155104 (2008).
45. Liechtenstein, A. I., Anisimov, V. I. & Zaanen, J. Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators. Phys. Rev. B 52, R5467-R5470 (1995).
46. 3+ in trigonal bipyramidal coordination: A new blue chromophore. J. Am. Chem. Soc. 131, 17084-17086 (2009).
47. King-Smith, R. D. & Vanderbilt, D. Theory of polarization of crystalline solids. Phys. Rev. B 47, 1651-1654 (1993).