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Theory of magnetic field control on polarization in multiferroic RCrO3 compounds

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Abstract

A microscopic mechanism to describe the magnetic field H dependence of the polarization P is proposed on the basis of a microscopic model for RCrO3 including the spin-phonon interaction. Using the Green’s function theory in Peierls systems we have studied the two contributions to P due to the antisymmetric exchange Dzyaloshinskii-Moriya interaction P AS and the magnetostriction P MS . The behaviour of P(H) – increase or decrease – in different multiferroics can be explained in our model taking into account the second order spin-phonon interaction constants. When a magnetic field is applied to a magnetoelectric material, the material is strained. H changes the average of the spin operator products and so P. Moreover, H renormalizes the elastic constant which explains the strain effect. From here we have found a qualitative relationship between pressure and magnetic field effects on P. The observed results are in good qualitatively agreement with the experimental data.

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References

  1. M. Fiebig, J. Phys. D 38, R123 (2005)

    Article  ADS  Google Scholar 

  2. D. Khomskii, Physics 2, 20 (2009)

    Article  Google Scholar 

  3. R. Saha, A. Shireen, S.N. Shirodkar, U.V. Waghmare, A. Sundaresan, C.N.R. Rao, Solid State Commun. 152, 1964 (2012)

    Article  ADS  Google Scholar 

  4. M.H. Qin, Y.J. Guo, S. Dong, K.F. Wang, J.-M. Liu, J. Appl. Phys. 105, 07D908 (2009)

    Google Scholar 

  5. Y. Su, J. Zhang, B. Li, B. Kang, Q. Yu, C. Jing, S. Cao, Ceramic Int. 38, S421 (2012)

    Article  Google Scholar 

  6. U. Cowdhury, S. Goswami, D. Bhattacharya, J. Ghosh, S. Basu, S. Neogi, Appl. Phys. Lett. 105, 052911 (2014)

    Article  ADS  Google Scholar 

  7. L. Zhao, T.L. Hung, C.C. Li, Y.Y. Chen, M.K. Wu, R.K. Kremer, M.G. Banks, A. Simon, M.H. Whangbo, C. Lee, J.S. Kim, I. Kim, K.H. Kim, Adv. Mater. 24, 2469 (2012)

    Article  Google Scholar 

  8. H. Naganuma, S. Okamura, J. Appl. Phys. 101, 09M103 (2007)

    Article  Google Scholar 

  9. Z. Cheng, X. Wang, Phys. Rev. B 75, 172406 (2007)

    Article  ADS  Google Scholar 

  10. V.R. Palkar, D.C. Kundaliya, S.K. Malik, S. Bhattacharya, Phys. Rev. B 69, 212102 (2004)

    Article  ADS  Google Scholar 

  11. M. Fukunaga, Y. Sakamoto, H. Kimura, Y. Noda, N. Abe, K. Taniguchi, T. Arima, S. Wakimoto, M. Takeda, K. Kakurai, K. Kohn, Phys. Rev. Lett. 103, 077204 (2009)

    Article  ADS  Google Scholar 

  12. R.P. Chaudhury, B. Lorenz, Y.Q. Wang, Y.Y. Sun, C.W. Chu, Phys. Rev. B 77, 104406 (2008)

    Article  ADS  Google Scholar 

  13. I. Fina, L. Fabrega, X. Marti, F. Sanchez, J. Fontcuberta, Appl. Phys. Lett. 97, 232905 (2010)

    Article  ADS  Google Scholar 

  14. B. Rajeswaran, D.I. Khomskii, A. Sundaresan, C.N.R. Rao, Phys. Rev. B 86, 214409 (2012)

    Article  ADS  Google Scholar 

  15. Y. Tokunaga, S. Iguchi, T. Arima, Y. Tokura, Phys. Rev. Lett. 101, 097205 (2008)

    Article  ADS  Google Scholar 

  16. Z.Y. Zhao, X. Zhao, H.D. Zhou, F.B. Zhang, Q.J. Li, C. Fan, X.F. Sun, X.G. Li, Phys. Rev. B 89, 224405 (2014)

    Article  ADS  Google Scholar 

  17. B. Rajeswaran, D. Sanyal, M. Chakrabarti, Y. Sundarayya, A. Sundaresan, C.N.R. Rao, Europhys. Lett. 101, 17001 (2013)

    Article  ADS  Google Scholar 

  18. S. Park, Y.J. Choi, C.L. Zhang, S.-W. Cheong, Phys. Rev. Lett. 98, 057601 (2007)

    Article  ADS  Google Scholar 

  19. L. Zhao, K.-W. Yeh, S.M. Rao, T.-W. Huang, P. Wu, W.-H. Chao, C.-T. Ke, C.-E. Wu, M.-K. Wu, Europhys. Lett. 97, 37004 (2012)

    Article  ADS  Google Scholar 

  20. S. Goswami, D. Bhattacharya, L. Keeney, T. Maity, S.D. Kaushik, V. Siruguri, G.C. Das, H. Yang, W. Li, C. Gu, M.E. Pemble, S. Roy, Phys. Rev. B 90, 104402 (2014)

    Article  ADS  Google Scholar 

  21. M. El Amrani, M. Zaghrioui, V. Ta Phuoc, F. Gervais, N.E. Massa, J. Magn. Magn. Mater. 361, 1 (2014)

    Article  ADS  Google Scholar 

  22. R.P. Chaudhury, F. Yen, C.R. dela Cruz, B. Lorenz, Y.Q. Wang, Y.Y. Sun, C.W. Chu, Phys. Rev. B 75, 012407 (2007)

    Article  ADS  Google Scholar 

  23. R.P. Chaudhury, F. Yen, C.R. dela Cruz, B. Lorenz, Y.Q. Wang, Y.Y. Sun, C.W. Chu, Physica B 403, 1428 (2008)

    Article  ADS  Google Scholar 

  24. C.R. dela Cruz, B. Lorenz, Y.Y. Sun, C.W. Chu, S. Park, S.-W. Cheong, Phys. Rev. B 74, 180402(R) (2006)

    Article  Google Scholar 

  25. A.B. Harris, T. Yildirim, A. Aharony, O. Entin-Wohlman, Phys. Rev. B 73, 184433 (2006)

    Article  ADS  Google Scholar 

  26. C.W. Chu, Bull. Am. Phys. Soc. 51, 52 (2006)

    Google Scholar 

  27. C.R. dela Cruz, B. Lorenz, M.M. Gospodinov, C.W. Chu, J. Magn. Magn. Mater. 310, 1185 (2007)

    Article  ADS  Google Scholar 

  28. A.K. Zvezdin, A.A. Mukhin, J. Exp. Theor. Phys. Lett. 88, 505 (2008)

    Article  Google Scholar 

  29. K.P. Belov, A.K. Zvezdin, A.M. Kadomtseva, P.Z. Levitin, Uspehi Fiz. Nauk. 119, 447 (1976)

    Article  Google Scholar 

  30. R.D. Johnson, N. Terada, P.G. Radaelli, Phys. Rev. Lett. 108, 219701 (2012)

    Article  ADS  Google Scholar 

  31. S. Seki, S. Ishiwata, Y. Tokura, Phys. Rev. B 86, 060403R (2012)

    Article  ADS  Google Scholar 

  32. X.Z. Lu, X. Wu, H.J. Xiang, Phys. Rev. B 91, 100405R (2015)

    Article  ADS  Google Scholar 

  33. H. Murakawa, Y. Onose, S. Miyahara, N. Furukawa, Y. Tokura, Phys. Rev. B 85, 174106 (2012)

    Article  ADS  Google Scholar 

  34. M. Brockmann, A. Kluemper, V. Ohanyan, Phys. Rev. B 87, 054407 (2013)

    Article  ADS  Google Scholar 

  35. C.-W. Nan, G. Liu, Y. Lin, H. Chen, Phys. Rev. Lett. 94, 197203 (2005)

    Article  ADS  Google Scholar 

  36. C.-G. Zhong, Q. Jiang, J.-H. Fang, X.-F. Jiang, J. Appl. Phys. 105, 044901 (2009)

    Article  ADS  Google Scholar 

  37. S.G. Bahoosh, J.M. Wesselinowa, J. Appl. Phys. 113, 063905 (2013)

    Article  ADS  Google Scholar 

  38. A.T. Apostolov, Phys. Lett. A 378, 1961 (2014)

    Article  ADS  Google Scholar 

  39. S.G. Bahoosh, J.M. Wesselinowa, S. Trimper, Phys. Stat. Sol. B 250, 1816 (2013)

    Article  ADS  Google Scholar 

  40. A.T. Apostolov, I.N. Apostolova, J.M. Wesselinowa, to be published in Mod. Phys. Lett. B (2015)

  41. J.R. Sahu, C.R. Serrao, N. Ray, U.V. Waghmarec, C.N.R. Rao, J. Mater. Chem. 17, 42 (2007)

    Article  Google Scholar 

  42. E.F. Bertaut, in Magnetism III, edited by G.T. Rado, H. Suhl (Academic, New York, 1968), p. 149

  43. T. Moriya, Phys. Rev. 120, 91 (1960)

    Article  ADS  Google Scholar 

  44. L. Shekhtman, O. Entin-Wohlman, A. Aharony, Phys. Rev. Lett. 96, 836 (1992)

    Article  ADS  Google Scholar 

  45. T.A. Kaplan, S.D. Mahanti, Phys. Rev. B 83, 174432 (2011)

    Article  ADS  Google Scholar 

  46. K. Toyokawa, S. Kurita, K. Tsushima, Phys. Rev. B 19, 274 (1979)

    Article  ADS  Google Scholar 

  47. R.M. Hornreich, Y. Komet, R. Nolan, B.M. Wanklyn, Phys. Rev. B 12, 5094 (1975)

    Article  ADS  Google Scholar 

  48. L. Holmes, M. Eibschutz, L.G. Van Uitert, J. Appl. Phys. 41, 1184 (1970)

    Article  ADS  Google Scholar 

  49. J.M. Wesselinowa, A.T. Apostolov, J. Phys.: Condens. Matter 8, 473 (1996)

    ADS  Google Scholar 

  50. N. Kojima, K. Tsushima, T. Tsujikawa, J. Phys. Soc. Jpn 49, 1449 (1980)

    Article  ADS  Google Scholar 

  51. V.S. Bhadram, B. Rajeswaran, A. Sundaresan, C. Narayana, Europhys. Lett. 101, 17008 (2013)

    Article  ADS  Google Scholar 

  52. H. Katsura, A.V. Balatsky, N. Nagaosa, Phys. Rev. Lett. 98, 027203 (2007)

    Article  ADS  Google Scholar 

  53. M. Mochizuki, N. Furukawa, N. Nagaosa, Phys. Rev. B 84, 144409 (2011)

    Article  ADS  Google Scholar 

  54. K. Toyokawa, S. Kurita, K. Tsushima, Phys. Rev. B 19, 274 (1979)

    Article  ADS  Google Scholar 

  55. M. Tokunaga, M. Akaki, A. Miyake, T. Ito, H. Kuwahara, J. Magn. Magn. Mater. 383, 259 (2015)

    Article  ADS  Google Scholar 

  56. M. Tokunaga, M. Akaki, T. Ito, S. Miyahara, A. Miyake, H. Kuwahara, N. Furukawa, Nat. Commun. 6, 5878 (2015)

    Article  ADS  Google Scholar 

  57. A.H. Arkenbout, T.T.M. Palstra, T. Siegrist, T. Kimura, Phys. Rev. B 74, 184431 (2006)

    Article  ADS  Google Scholar 

  58. T. Kimura, G. Lawes, T. Goto, Y. Tokura, A.P. Ramirez, Phys. Rev. B 71, 224425 (2005)

    Article  ADS  Google Scholar 

  59. T. Lorenz, U. Ammerahl, T. Auweiler, B. Buechner, Phys. Rev. B 55, 5914 (1997)

    Article  ADS  Google Scholar 

  60. V.A. Finkel, V.S. Belovol, Soviet Phys. J. Exp. Theor. Phys. 34, 1257 (1972)

    ADS  Google Scholar 

  61. H. Ohsumi, J. Phys. Soc. Jpn 71, 1732 (2002)

    Article  ADS  Google Scholar 

  62. H.J. Zhao, W. Ren, X.M. Chen, L. Bellaiche, J. Phys.: Condens. Matter 25, 385604 (2013)

    ADS  Google Scholar 

  63. H.J. Zhao, W. Ren, Y. Yang, X.M. Chen, L. Bellaiche, J. Phys.: Condens. Matter 25, 466002 (2013)

    ADS  Google Scholar 

  64. K. Taniguchi, N. Abe, T. Takenobu, Y. Iwasa, T. Arima, Phys. Rev. Lett. 97, 097203 (2006)

    Article  ADS  Google Scholar 

  65. I. Urcelay-Olabarria, E. Ressouche, A.A. Mukhin, V.Yu. Ivanov, A.M. Kadomtseva, Yu.F. Popov, G.P. Vorobev, A.M. Balbashov, J.L. Garcia-Munoz, V. Skumryev, Phys. Rev. B 90, 024408 (2014)

    Article  ADS  Google Scholar 

  66. M. Kenzelmann, A.B. Harris, A. Aharony, O. Entin-Wohlman, T. Yildirim, Q. Huang, S. Park, G. Lawes, C. Broholm, N. Rogado, R.J. Cava, K.H. Kim, G. Jorge, A.P. Ramirez, Phys. Rev. B 74, 104429 (2006)

    Article  ADS  Google Scholar 

  67. R.P. Chaudhury, F. Yen, C.R. dela Cruz, B. Lorenz, Y.Q. Wang, Y.Y. Sun, C.W. Chu, Phys. Rev. B 75, 012407 (2007)

    Article  ADS  Google Scholar 

  68. D. Higashiyama, S. Miyasaka, Y. Tokura, Phys. Rev. B 72, 064421 (2005)

    Article  ADS  Google Scholar 

  69. C.R. dela Cruz, B. Lorenz, Y.Y. Sun, Y. Wang, S. Park, S.-W. Cheong, M.M. Gospodinov, C.W. Chu, Phys. Rev. B 76, 174106 (2007)

    Article  ADS  Google Scholar 

  70. H. Kimura, K. Nishihata, Y. Noda, N. Aso, K. Matsubayashi, Y. Uwatoko, T. Fujiwara, J. Phys. Soc. Jpn 77, 063704 (2008)

    Article  ADS  Google Scholar 

  71. T. Aoyama, K. Yamauchi, A. Iyama, S. Picozzi, K. Shimizu, T. Kimura, Nat. Commun. 5, 4927 (2014)

    Article  ADS  Google Scholar 

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Correspondence to Julia M. Wesselinowa.

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Apostolov, A., Apostolova, I. & Wesselinowa, J. Theory of magnetic field control on polarization in multiferroic RCrO3 compounds. Eur. Phys. J. B 88, 328 (2015). https://doi.org/10.1140/epjb/e2015-60649-4

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