Issues

 / 

2009

 / 

June

  

Oral issue of the journal “Uspekhi Fizicheskikh Nauk”


Theoretical investigations of the ferroelectric transition


Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

The paper presents a historical review of theoretical concepts regarding the nature of the ferroelectric transition in crystals with a perovskite structure. We discuss Ginzburg’s phenomenological theory, including the idea of the soft phonon mode as a reason for the ferroelectric transition. The role played by the dipole — dipole interaction in softening the optical phonon mode is considered in the framework of the theory of lattice dynamics. The experimental data and theoretical results are presented that prove that the ferroelectric transition in perovskite crystals is due to the soft mode and is a displacement-type transition.

Fulltext pdf (789 KB)
video avi (79 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0179.200906g.0639
PACS: 63.20.dk, 77.80.−e, 77.84.−s (all)
DOI: 10.3367/UFNe.0179.200906g.0639
URL: https://ufn.ru/en/articles/2009/6/g/
000271221900007
2-s2.0-70449365728
2009PhyU...52..603M
Citation: Maksimov E G "Theoretical investigations of the ferroelectric transition" Phys. Usp. 52 603–614 (2009)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Максимов Е Г «Теоретические исследования сегнетоэлектрического перехода» УФН 179 639–651 (2009); DOI: 10.3367/UFNr.0179.200906g.0639

References (57) ↓ Cited by (9) Similar articles (6)

  1. Ginzburg V L Usp. Fiz. Nauk 38 490 (1949)
  2. Kvyatkovskii O E, Maksimov E G Usp. Fiz. Nauk 154 3 (1988); Kvyatkovskii O E, Maksimov E G Sov. Phys. Usp. 31 1 (1988)
  3. Maksimov E G, Zinenko V I, Zamkova N G Usp. Fiz. Nauk 174 1145 (2004); Maksimov E G, Zinenko V I, Zamkova N G Phys. Usp. 47 1075 (2004)
  4. Ginzburg V L Zh. Eksp. Teor. Fiz. 15 739 (1945); Ginzburg V L Zh. Eksp. Teor. Fiz. 19 36 (1949)
  5. Lines M E, Glass A M Principles And Applications Of Ferroelectrics And Related Materials (Oxford: Clarendon Press, 1977); Lains M, Glass A Segnetoelektriki i Rodstvennye Im Materialy (M.: Mir, 1981)
  6. Strukov B A, Levanyuk A P Fizicheskie Osnovy Segnetoelektricheskikh Yavlenii v Kristallakh (M.: Fizmatlit, 1995)
  7. Bratkovsky A M, Levanyuk A P arXiv:0801.1669, v4
  8. Cochran W Phys. Rev. Lett. 3 412 (1959)
  9. Cochran W Adv. Phys. 9 387 (1960); Cochran W Adv. Phys. 10 401 (1961)
  10. Born M, Huang K Dynamical Theory Of Crystal Lattices (Oxford: Clarendon Press, 1954); Born M, Khuan K Dinamicheskaya Teoriya Kristallicheskikh Reshetok (M.: IL, 1958)
  11. Kvyatkovskii O E Fiz. Tverd. Tela 28 983 (1986); Kvyatkovskii O E Sov. Phys. Solid State 28 548 (1986)
  12. Skanavi G I Zh. Eksp. Teor. Fiz. 17 399 (1947)
  13. Slater J C Phys. Rev. 78 748 (1950)
  14. Kvyatkovskii O E Fiz. Tverd. Tela 27 2673 (1985); Kvyatkovskii O E Sov. Phys. Solid State 27 1603 (1985)
  15. Kvyatkovskii O E Fiz. Tverd. Tela 38 101 (1996); Kvyatkovskii O E Sov. Phys. Solid State 38 54 (1996)
  16. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1992); Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  17. Martin R M Phys. Rev. B 9 1998 (1974)
  18. Hohenberg P, Kohn W Phys. Rev. 136 B864 (1964)
  19. Kohn W, Sham L J Phys. Rev. 140 A1133 (1965)
  20. Kon V Usp. Fiz. Nauk 172 336 (2002)
  21. Kohn W Rev. Mod. Phys. 71 1253 (1999)
  22. Cohen R E, Krakauer H Ferroelectrics 136 65 (1992)
  23. King-Smith R D, Vanderbilt D Phys. Rev. B 49 5828 (1994)
  24. Resta R Rev. Mod. Phys. 66 899 (1994)
  25. Resta R Ferroelectrics 136 51 (1992)
  26. King-Smith R D, Vanderbilt D Phys. Rev. B 47 1651 (1993)
  27. Berry M V Proc. R. Soc. London. A 392 45 (1984)
  28. Resta R J. Phys. Condens. Matter 14 R625 (2002)
  29. Resta R, Vanderbilt D In Physics Of Ferroelectrics: A Modern Perspective (Eds K M Rabe, C H Ahn, J-M Triscone) (Berlin: Springer, 2007) p. 31
  30. Kvyatkovskii O E J. Korean Phys. Soc. 32 S140 (1998)
  31. Ivanov O V, Maksimov E G Solid State Commun. 81 69 (1992)
  32. Ivanov O V, Maksimov E G Phys. Rev. Lett. 69 108 (1992)
  33. Ivanov O V, Maksimov E G Zh. Eksp. Teor. Fiz. 108 1841 (1995); Ivanov O V, Maksimov E G JETP 81 1008 (1995)
  34. Ivanov O V, Maksimov E G Solid State Commun. 97 163 (1996)
  35. Maksimov E G, Shport D A, Ivanov O V Solid State Commun. 101 393 (1997)
  36. Ivanov O V, Shport D A, Maksimov E G Zh. Eksp. Teor. Fiz. 114 333 (1998); Ivanov O V, Shport D A, Maksimov E G JETP 87 186 (1998)
  37. Zinenko V I, Sofronova S N Fiz. Tverd. Tela 46 1252 (2004); Zinenko V I, Sofronova S N Phys. Solid State 46 1291 (2004)
  38. Zinenko V I i dr. Zh. Eksp. Teor. Fiz. 132 702 (2007); Zinenko V I et al. JETP 105 617 (2007)
  39. Zinenko V I, Zamkova N G Zh. Eksp. Teor. Fiz. 133 622 (2008); Zinenko V I, Zamkova N G JETP 106 542 (2008)
  40. Lenz W Z. Phys. 77 713 (1932)
  41. Jensen H Z. Phys. 77 722 (1932)
  42. Thomas L H Proc. Cambridge Philos. Soc. 23 542 (1926)
  43. Fermi E Z. Phys. 48 73 (1928)
  44. Kim Y S, Gordon R G Phys. Rev. B 9 3548 (1974)
  45. Kellermann E W Philos. Trans. R. Soc. London A 238 513 (1940)
  46. Boyer L L et al. Phys. Rev. Lett. 54 1940 (1985)
  47. Wolf G H, Bukowinski M S T Phys. Chem. Minerals 15 209 (1988)
  48. Mahan G D, Subbaswamy K R Local Density Theory Of Polarizability (New York: Plenum Press, 1990)
  49. Leontovich M A Vvedenie v Termodinamiku 3-e izd. (M.: Nauka, 1983)
  50. Comes R, Lambert M, Guinier A Solid State Commun. 6 715 (1968)
  51. Comès R, Lambert M, Guinier A Acta Cryst. A 26 244 (1970)
  52. Hüller A Solid State Commun. 7 589 (1969)
  53. Chapman B D et al. Phys. Rev. B 71 020102(R) (2005)
  54. Glauber R J Phys. Rev. 98 1692 (1955)
  55. Maksimov E G, Matsko N L Zh. Eksp. Teor. Fiz. 135 498 (2009); Maksimov E G, Matsko N L JETP 108 435 (2009)
  56. Cowley R A Phys. Rev. 134 A981 (1964)
  57. Yu R, Krakauer H Phys. Rev. Lett. 74 4067 (1995)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions