Skip to main content
SpringerLink
Log in

Fixed volume effect on polar properties and phase diagrams of ferroelectric semi-ellipsoidal nanoparticles

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

For advanced applications in modern industry, it is very important to reduce the volume of ferroelectric nanoparticles without serious deterioration of their polar properties. In many practically important cases, the fixed volume (rather than the fixed size) corresponds to realistic technological conditions of nanoparticles fabrication. The letter is focused on the theoretical study of the behavior of ferroelectric polarization, paramagnetoelectric coefficient and phase diagrams of semi-ellipsoidal nanoparticles with a fixed volume V. Our approach combines the Landau-Ginzburg-Devonshire phenomenology, the classical electrostatics, and the elasticity theory. Our results show that the size effects on the phase diagrams and polarization of semi-ellipsoidal BiFeO3 nanoparticles nontrivially depend on V. These findings provide a path to optimize the polar properties of nanoparticles by controlling their phase diagrams at a fixed volume.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.F. Scott, in Ferroelectric memories, Springer series in advanced microelectronics, edited by J.F. Scott (Springer Verlag, Berlin, 2000), Vol. 3, p. 248

  2. D.R. Tilley, Finite-size effects on phase transitions in ferroelectrics, in Ferroelectric thin films, edited by C. Paz de Araujo, J.F. Scott, G.W. Teylor (Gordon and Breach, Amsterdam, 1996), pp. 11–14

  3. A.K. Tagantsev, L.E. Cross, J. Fousek, Domains in ferroic crystals and thin films (Springer, New York, 2010)

  4. M.D. Glinchuk, A.V. Ragulya, V.A. Stephanovich, in Nanoferroics (Springer, Dordrecht, 2013), p. 378

  5. D. Yadlovker, S. Berger, Phys. Rev. B 71, 184112-1 (2005)

    Article  ADS  Google Scholar 

  6. D. Yadlovker, S. Berger, Appl. Phys. Lett. 91, 173104 (2007)

    Article  ADS  Google Scholar 

  7. D. Yadlovker, S. Berger, J. Appl. Phys. 101, 034304 (2007)

    Article  ADS  Google Scholar 

  8. A.N. Morozovska, E.A. Eliseev, M.D. Glinchuk, Physica B 387, 358 (2007)

    Article  ADS  Google Scholar 

  9. A.N. Morozovska, M.D. Glinchuk, E.A. Eliseev, Phys. Rev. B 76, 014102-1 (2007)

    ADS  Google Scholar 

  10. M.H. Frey, D.A. Payne, Phys. Rev. B 54, 3158 (1996)

    Article  ADS  Google Scholar 

  11. Z. Zhao, V. Buscaglia, M. Viviani, M.T. Buscaglia, L. Mitoseriu, A. Testino, M. Nygren, M. Johnsson, P. Nanni, Phys. Rev. B 70, 024107-1 (2004)

    ADS  Google Scholar 

  12. A.N. Morozovska, M.D. Glinchuk, J. Appl. Phys. 119, 094109 (2016)

    Article  ADS  Google Scholar 

  13. M.D. Glinchuk, E.A. Eliseev, A.N. Morozovska, Phys. Rev. B 78, 134107-1 (2008)

    Article  ADS  Google Scholar 

  14. P. Perriat, J.C. Niepce, G. Caboche, J. Therm. Anal. Calorim. 41, 635 (1994)

    Article  Google Scholar 

  15. M. Wenhui, Appl. Phys. A 96, 915 (2009)

    Article  Google Scholar 

  16. E. Erdem, H.-Ch. Semmelhack, R. Bottcher, H. Rumpf, J. Banys, A. Matthes, H.-J. Glasel, D. Hirsch, E. Hartmann, J. Phys. Condens. Matter 18, 3861 (2006)

    Article  ADS  Google Scholar 

  17. H. Huang, C.Q. Sun, P. Hing, J. Phys.: Condens. Matter 12, L127 (2000)

    ADS  Google Scholar 

  18. H. Huang, C.Q. Sun, Z. Tianshu, P. Hing, Phys. Rev. B 63, 184112 (2001)

    Article  ADS  Google Scholar 

  19. I.S. Golovina, S.P. Kolesnik, V. Bryksa, V.V. Strelchuk, I.B. Yanchuk, I.N. Geifman, S.A. Khainakov, S.V. Svechnikov, A.N. Morozovska, Physica B 407, 614 (2012)

    Article  ADS  Google Scholar 

  20. I.S. Golovina, V.P. Bryksa, V.V. Strelchuk, I.N. Geifman, A.A. Andriiko, J. Appl. Phys. 113, 144103 (2013)

    Article  ADS  Google Scholar 

  21. I.S. Golovina, V.P. Bryksa, V.V. Strelchuk, I.N. Geifman, Funct. Mater. 20, 75 (2013)

    Article  Google Scholar 

  22. A.N. Morozovska, I.S. Golovina, S.V. Lemishko, A.A. Andriiko, S.A. Khainakov, E.A. Eliseev, Phys. Rev. B 90, 214103 (2014)

    Article  ADS  Google Scholar 

  23. E.A. Eliseev, A.N. Morozovska, M.D. Glinchuk, R. Blinc, J.Appl. Phys. 109, 094105 (2011)

    Article  ADS  Google Scholar 

  24. T. Yu, Z.X. Shen, W.S. Toh, J.M. Xue, J. Wang, J. Appl. Phys. 94, 618 (2003)

    Article  ADS  Google Scholar 

  25. H. Ke, D.C. Jia, W. Wang, Y. Zhou, Solid State Phenom. 121–123, 843 (2007)

    Article  Google Scholar 

  26. E.A. Eliseev, A.V. Semchenko, Y.M. Fomichov, M.D. Glinchuk, V.V. Sidsky, V.V. Kolos, Yu.M. Pleskachevsky, M.V. Silibin, N.V. Morozovsky, A.N. Morozovska, J. Appl. Phys. 119, 204104 (2016)

    Article  ADS  Google Scholar 

  27. S. Goswami, D. Bhattacharya, P. Choudhury, J. Appl. Phys. 109, 07D737 (2011)

    Article  Google Scholar 

  28. M.D. Glinchuk, E.A. Eliseev, A.N. Morozovska, R. Blinc, Phys. Rev. B 77, 024106-1 (2008)

    Article  ADS  Google Scholar 

  29. V.V. Khist, E.A. Eliseev, M.D. Glinchuk, D.V. Karpinsky, M.V. Silibin, A.N. Morozovska, J. Alloys Compd. 714, 303 (2017)

    Article  Google Scholar 

  30. S. Layek, H.C. Verma, Adv. Mater. Lett. 3, 533 (2012)

    Article  Google Scholar 

  31. F. Huang, Z. Wang, X. Lu, J. Zhang, K. Min, W. Lin, R. Ti, T.-T. Xu, J. He, C. Yue, J. Zhu, Sci. Rep. 3, 2907 (2013)

    Article  ADS  Google Scholar 

  32. M. Hasan, M.A. Basith, M.A. Zubair, M.S. Hossain, R. Mahbub, M.A. Hakim, M.F. Islam, J. Alloys Compd. 687, 701 (2016)

    Article  Google Scholar 

  33. T. Wang, T. Xu, S. Gao, S.-H. Song, Ceram. Int. 43, 4489 (2017)

    Article  Google Scholar 

  34. P.P. Khirade, S.D. Birajdar, A.B. Shinde, K.M. Jadhav, J. Alloys Compd. 691, 287 (2017)

    Article  Google Scholar 

  35. C. Peng, X. Xu, C. Koenigsmann, A.C. Santulli, S.S. Wong, J.L. Musfeldt, Nano Lett. 10, 4526 (2010)

    Article  ADS  Google Scholar 

  36. V. Annapu Reddy, N.P. Pathak, R. Nath, J. Alloys Compd. 543, 206 (2012)

    Article  Google Scholar 

  37. X. Bai, J. Wei, B. Tian, Y. Liu, T. Reiss, N. Guiblin, P. Gemeiner, B. Dkhil, I.C. Infante, J. Phys. Chem. C 120, 3595 (2016)

    Article  Google Scholar 

  38. J. Hoon Jeon, H.-Y. Joo, Y.-M. Kim, D. Hyun Lee, J.-S. Kim, Y.S. Kim, T. Choi, B.H. Park, Sci. Rep. 6, 23299 (2016)

    Article  ADS  Google Scholar 

  39. S. Hong et al., Adv. Mater. 25, 2339 (2013)

    Article  Google Scholar 

  40. T. Sakamoto, K. Okada, A.N. Hattori, T. Kanki, A.S. Borowiak, B. Gautier, B. Vilquin, H. Tanaka, J. Appl. Phys. 113, 104302 (2013)

    Article  ADS  Google Scholar 

  41. X. Zhang, B. Wang, X. Wang, X. Xiao, Z. Dai, W. Wu, J. Zheng, F. Ren, C. Jiang, J. Am. Ceram. Soc. 98, 2255 (2015)

    Article  Google Scholar 

  42. M. Fiebig, J. Phys. D: Appl. Phys. 38, R123 (2005)

    Article  ADS  Google Scholar 

  43. N.A. Spaldin, M. Fiebig, Science 309, 391 (2005)

    Article  Google Scholar 

  44. J.M. Rondinelli, N.A. Spaldin, Adv. Mater. 23, 3363 (2011)

    Article  Google Scholar 

  45. A.P. Pyatakov, A.K. Zvezdin, Phys. Usp. 55, 557 (2012)

    Article  ADS  Google Scholar 

  46. J.F. Scott, Nat. Mater. 6, 256 (2007)

    Article  ADS  Google Scholar 

  47. R. Ramesh, N.A. Spaldin, Nat. Mater. 6, 21 (2007)

    Article  ADS  Google Scholar 

  48. P. Fischer, M. Polomska, I. Sosnowska, M. Szymanski, J. Phys. C: Solid State Phys. 13, 1931 (1980)

    Article  ADS  Google Scholar 

  49. G. Catalan, J.F. Scott, Adv. Mater. 21, 1 (2009)

    Article  Google Scholar 

  50. F. Huang et al., Sci. Rep. 3, 2907 (2013)

    Article  Google Scholar 

  51. S.M. Selbach, T. Tybell, M.-A. Einarsrud, T. Grande, Chem. Mater. 19, 6478 (2007)

    Article  Google Scholar 

  52. M.E. Castillo, V.V. Shvartsman, D. Gobeljic, Y. Gao, J. Landers, H. Wende, D.C. Lupascu, Nanotechnology 24, 355701 (2013)

    Article  Google Scholar 

  53. A.N. Morozovska, E.A. Eliseev, M.D. Glinchuk, Phys. Rev. B 73, 214106 (2006)

    Article  ADS  Google Scholar 

  54. A.N. Morozovska, E.A. Eliseev, J. Appl. Phys. 107, 044101 (2010)

    Article  ADS  Google Scholar 

  55. A.K. Tagantsev, G. Gerra, J. Appl. Phys. 100, 051607 (2006)

    Article  ADS  Google Scholar 

  56. I.S. Vorotiahin, E.A. Eliseev, Q. Li, S.V. Kalinin, Y.A. Genenko, A.N. Morozovska, Acta Mater. 137, 85 (2017)

    Article  Google Scholar 

  57. E.A. Eliseev, I.S. Vorotiahin, Y.M. Fomichov, M.D. Glinchuk, S.V. Kalinin, Y.A. Genenko, A.N. Morozovska, Phys. Rev. B 97, 024102 (2018)

    Article  ADS  Google Scholar 

  58. E.A. Eliseev, Y.M. Fomichov, S.V. Kalinin, Y.M. Vysochanskii, P. Maksymovich, A.N. Morozovska, arXiv:1801.03545 (2018)

  59. A.N. Morozovska, E.A. Eliseev, Y. Li, S.V. Svechnikov, P. Maksymovych, V.Y. Shur, V. Gopalan, L.-Q. Chen, S.V. Kalinin, Phys. Rev. B 80, 214110 (2009)

    Article  ADS  Google Scholar 

  60. S.-L. Hou, N. Bloembergen, Phys. Rev. 138, A1218 (1965)

    Article  ADS  Google Scholar 

  61. V.V. Shvartsman, S. Bedanta, P. Borisov, W. Kleemann, A. Tkach, P.M. Vilarinho, Phys. Rev. Lett. 101, 165704 (2008)

    Article  ADS  Google Scholar 

  62. B. Howes, M. Pelizzone, P. Fischer, C. Tabares-Munoz, J.-p. Rivera, H. Schmid, Ferroelectrics 54, 317 (1984)

    Article  Google Scholar 

  63. T. Watanabe, K. Kohn, Phase Transit. 15, 57 (1989)

    Article  Google Scholar 

  64. W. Kleemann, V.V. Shvartsman, P. Borisov, A. Kania, Phys. Rev. Lett. 105, 257202 (2010)

    Article  ADS  Google Scholar 

  65. W. Wang, L.-Q. Yan, J.-Z. Cong, Y.-L. Zhao, F. Wang, S.-P. Shen, T. Zou, D. Zhang, S.-G. Wang, X.-F. Han, Y. Sun, Sci. Rep. 3, 2024 (2013)

    Article  Google Scholar 

  66. V.V. Laguta, A.N. Morozovska, E.A. Eliseev, I.P. Raevski, S.I. Raevskaya, E.I. Sitalo, S.A. Prosandeev, L. Bellaiche, J. Mater. Sci. 51, 5330 (2016)

    Article  ADS  Google Scholar 

  67. S. Prosandeev, I.A. Kornev, L. Bellaiche, Phys. Rev. B 83, 020102 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Problems of Materials Science, National Academy of Sciences of Ukraine, 3, Krjijanovskogo, Kyiv, 03142, Ukraine

    Eugene A. Eliseev & Yevhen M. Fomichov

  2. Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Prospekt Vernadskogo 36a, Kyiv, 03142, Ukraine

    Victoria V. Khist

  3. National Research University of Electronic Technology “MIET”, Moscow, Zelenograd, Russia

    Maxim V. Silibin & Dmitry V. Karpinsky

  4. Institute for Bionic Technologies and Engineering, I.M. Sechenov First Moscow State Medical University, 2-4 Bolshaya Pirogovskaya st., Moscow, 119991, Russia

    Maxim V. Silibin

  5. Sikorsky Kyiv Polytechnic Institute, Prospekt Pobedi 37, Kyiv, 03052, Ukraine

    George S. Svechnikov

  6. Department of Physics and CICECO – Materials Institute of Aveiro, University of Aveiro, 3810-193, Aveiro, Portugal

    Andrei L. Kholkin

  7. Scientific-Practical Materials Research Centre of NAS of Belarus, Minsk, Belarus

    Dmitry V. Karpinsky

  8. Institute for Materials Science and Center for Nanointegration Duisburg-Essen (CENIDE), University of Duisburg-Essen, Universitatsstrasse 15, 45141, Essen, Germany

    Vladimir V. Shvartsman

  9. Institute of Physics, National Academy of Sciences of Ukraine, 46, pr. Nauky, Kyiv, 03028, Ukraine

    Anna N. Morozovska

Authors
  1. Eugene A. Eliseev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Victoria V. Khist
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yevhen M. Fomichov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Maxim V. Silibin
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. George S. Svechnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Andrei L. Kholkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Dmitry V. Karpinsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Vladimir V. Shvartsman
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. Anna N. Morozovska
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Vladimir V. Shvartsman or Anna N. Morozovska.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Eliseev, E.A., Khist, V.V., Fomichov, Y.M. et al. Fixed volume effect on polar properties and phase diagrams of ferroelectric semi-ellipsoidal nanoparticles. Eur. Phys. J. B 91, 150 (2018). https://doi.org/10.1140/epjb/e2018-90133-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2018-90133-6

Keywords

Search

Navigation