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Elastic anomalies at phase transitions in multiferroics

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Abstract

The temperature dependences of the elastic modulus in multiferroics-magnetoelectrics are analyzed, in which magnetic and ferroelectric orderings appear as the result of two successive phase transitions. The analytical relationships for the elastic modulus near the phase transitions to ordered states are obtained for the cases of either linear-quadratic or biquadratic contributions to magneto- and electroelastic coupling. The explicit dependence of the elastic modulus in the multiferroic phase on the magnetoelectric coupling constant was found. It is shown that the characteristic elastic properties in multiferroics can be treated using the Landau theory without taking into account fluctuations. The analysis includes changes in the phase diagrams due to the magneto- and electroelastic coupling.

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References

  1. K. F. Wang, J. M. Liu, and Z. F. Ren, Adv. Phys. 58, 321 (2009).

    Article  ADS  Google Scholar 

  2. J. Ma, J. Hu, Z. Li, and C.-W. Nan, Adv. Mater. 23, 1062 (2011).

    Article  Google Scholar 

  3. H. Schmidt, Ferroelectrics 162, 317 (1994).

    Article  Google Scholar 

  4. D. I. Khomskii, J. Magn. Magn. Mater. 306, 1 (2006).

    Article  ADS  Google Scholar 

  5. V. Felea, P. Lemmens, S. Yasin, S. Zherlitsyn, K. Y. Choi, C. T. Lin, and C. Payen, J. Phys. Condens. Mat. 23, 216001 (2011).

    Article  ADS  Google Scholar 

  6. M. Poirier, J. C. Lemyre, P.-O. Lahaie, L. Pinsard- Gaudart, and A. Revcolevschi, Phys. Rev. B: Condens. Matter Mater. Phys. 83, 054418 (2011).

    Article  ADS  Google Scholar 

  7. M. Poirier, F. Laliberté, L. Pinsard-Gaudart, and A. Revcolevschi, Phys. Rev. B: Condens. Matter Mater. Phys. 76, 174426 (2007).

    Article  ADS  Google Scholar 

  8. R. Villarreal, G. Quirion, M. L. Plumer, M. Poirier, T. Usui, and T. Kimura, Phys. Rev. Lett. 109, 167206 (2012).

    Article  ADS  Google Scholar 

  9. G. Quirion, M. J. Tagore, M. L. Plumer, and O. A. Petrenko, Phys. Rev. B: Condens. Matter Mater. Phys. 77, 094111 (2008).

    Article  ADS  Google Scholar 

  10. G. Quirion, M. L. Plumer, O. A. Petrenko, G. Balakrishnan, and C. Proust, Phys. Rev. B: Condens. Matter Mater. Phys. 80, 064420 (2009).

    Article  ADS  Google Scholar 

  11. E. Smirnova, A. Sotnikov, S. Ktitorov, N. Zaitseva, H. Schmidt, and M. Weihnacht, J. Eur. Phys. B 83, 39 (2011).

    Article  ADS  Google Scholar 

  12. M. Kinka, V. Samulionis, J. Banys, A. Kalvane, and K. Bormanis, Ferroelectrics 440, 93 (2012).

    Article  Google Scholar 

  13. E. Smirnova, A. Sotnikov, N. Zaitseva, H. Schmidt, and M. Weihnacht, Phys. Lett. A 374, 4256 (2010).

    Article  ADS  Google Scholar 

  14. E. V. Charnaya, Acoust. Phys. 54, 802 (2008).

    Article  ADS  Google Scholar 

  15. A. L. Pirozerskii, E. V. Charnaya, E. N. Latysheva, A. I. Nedbai, Yu. A. Kumzerov, and A. S. Bugaev, Acoust. Phys. 57, 637 (2011).

    Article  ADS  Google Scholar 

  16. Kh. G. Bogdanova, A. R. Bulatov, V. A. Golenishchev-Kutuzov, A. V. Golenishchev-Kutuzov, and A. V. Kapralov, Acoust. Phys. 48, 524 (2002).

    Article  ADS  Google Scholar 

  17. B. F. Borisov, A. V. Gartvik, F. V. Nikulin, and E. V. Charnaya, Acoust. Phys. 52, 138 (2006).

    Article  ADS  Google Scholar 

  18. G. I. Maksimochkin, S. V. Pasechnik, and A. G. Maksimochkin, Acoust. Phys. 57, 264 (2011).

    Article  ADS  Google Scholar 

  19. E. K. H. Salje and M. A. Carpenter, J. Phys. Condens. Matter 23, 462202 (2011).

    Article  ADS  Google Scholar 

  20. P. Tolédano, N. Leo, D. D. Khalyavin, L. C. Chapon, T. Hoffmann, D. Meier, and M. Fiebig, Phys. Rev. Lett. 106, 257601 (2011).

    Article  ADS  Google Scholar 

  21. E.V. Charnaya, A.L. Pirozerskii, K.R. Gabbasova, and A.S. Bugaev, Physica B 443, 49 (2014).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Physics Faculty, St. Petersburg State University, ul. Ulyanovskaya 1, Petrodvorets, St. Petersburg, 198504, Russia

    A. L. Pirozerskii, E. V. Charnaya & K. R. Gabbasova

  2. Moscow Institute of Physics and Technology, Institutskiy per. 9a, Dolgoprudny, Moscow oblast, 141700, Russia

    A. S. Bugaev

Authors
  1. A. L. Pirozerskii
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  2. E. V. Charnaya
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  3. K. R. Gabbasova
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  4. A. S. Bugaev
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Corresponding author

Correspondence to E. V. Charnaya.

Additional information

Original Russian Text © A.L. Pirozerskii, E.V. Charnaya, K.R. Gabbasova, A.S. Bugaev, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 5, pp. 470–475.

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Pirozerskii, A.L., Charnaya, E.V., Gabbasova, K.R. et al. Elastic anomalies at phase transitions in multiferroics. Acoust. Phys. 60, 509–514 (2014). https://doi.org/10.1134/S1063771014040125

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  • DOI: https://doi.org/10.1134/S1063771014040125

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