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Original Articles

Full Analysis of the Ferroelectric Phase Transition in a Thin Film with Various Boundary Conditions

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Pages 68-81 | Received 30 Apr 2013, Published online: 28 Feb 2014

References

  • Rabe , K. M. , Ahn , C. H. and Triscone , J.-M. , eds. 2007 . “ Physics of Ferroelectrics : A Modern Perspective ” . Berlin : Springer .
  • Scott , J. F. 2007 . Applications of modern ferroelectrics . Science. , 315 : 954 – 959 .
  • Shimada , T. , Wang , X. , Kondo , Y. and Kitamura , T. 2012 . Absence of ferroelectric critical size in ultrathin PbTiO3 nanotubes: A density-functional theory study . Phys. Rev. Lett. , 108 : 067601
  • Tenne , D. A. , Turner , P. , Schmidt , J. D. , Biegalski , M. , Li , Y. L. , Chen , L. Q. , Soukiassian , A. , Trolier-McKinstry , S. , Schlom , D. G. , Xi , X. X. , Fong , D. D. , Fuoss , P. H. , Eastman , J. A. , Stephenson , G. B. , Thompson , C. and Streiffer , S. K. 2009 . Ferroelectricity in ultrathin BaTiO3 films: Probing the size effect by ultraviolet Raman spectroscopy . Phys. Rev. Lett. , 103 : 177601
  • Sedykh , P. and Michel , D. 2009 . Ferroelectric phase transition in barium titanate nanoparticles . Phys. Rev. B. , 79 : 134119
  • Michael , T. , Trimper , S. and Wesselinowa , J. M. 2007 . Size effects on static and dynamic properties of ferroelectric nanoparticles . Phys. Rev. B. , 76 : 094107
  • Zhang , P. L. , Zhong , W. L. and Hu , J. F. 2000 . Dielectric behavior and correlation length of ferroelectric particles in the paraelectric phase . Solid State Commun , 116 : 349 – 354 .
  • Zhong , W. L. , Wang , Y. G. , Zhang , P. L. and Qu , B. D. 1994 . Phenomenological study of the size effect on phase transitions in ferroelectric particles . Phys. Rev. B. , 50 : 698 – 703 .
  • Prosandeev , S. , Ponomareva , I. , Naumov , I. , Kornev , I. and Bellaiche , L. 2008 . Original properties of dipole vortices in zero-dimensional ferroelectrics . J. Phys.: Condens. Matter. , 20 : 193201
  • Wang , C. L. , Xin , Y. , Wang , X. S. and Zhong , W. L. 2000 . Size effects of ferroelectric particles described by the transverse Ising model . Phys. Rev. B. , 62 : 11423
  • Tilley , D. R. 1993 . Ferroelectric Ceramics , Edited by: Setter , N. and Colla , E. L. 163 – 183 . Basel : Birkhause .
  • Tagantsev , A. K. , Gerra , G. and Setter , N. 2008 . Short-range and long-range contributions to the size effect in metal-ferroelectric-metal heterostructures . Phys. Rev. B. , 77 : 174111
  • Charnaya , E. V. , Pogorelova , O. S. and Tien , C. 2001 . Phenomenological model for the antiferroelectric phase transition in thin films and small particles . Physica B. , 305 : 97 – 104 .
  • Charnaya , E. V. , Ktitorov , S. A. and Pogorelova , O. S. 2003 . Phenomenological theory of the incommensurate phase transition in thin films . Ferroelectrics. , 297 : 29 – 37 .
  • Mirkin , A. A. , Charnaya , E. V. and Tien , C. 2009 . Size effects on the incommensurate phase transition in thin films . Ferroelectrics. , 386 : 62 – 69 .
  • Mirkin , A. A. , Pirozerskii , A. L. , Charnaya , E. V. and Tien , C. 2011 . Incommensurate phase transition in a thin film . Ferroelectrics. , 413 : 399 – 408 .
  • Ishibashi , Y. , Orihara , H. and Tilley , D. R. 2002 . Thickness transitions of ferroelectricity in thin films: II . J. Phys. Soc. Jpn. , 71 : 1471 – 1474 .
  • Ishibashi , Y. , Iwata , M. and Musleh , A. M. A. 2007 . Exact expressions for some dielectric properties of ferroelectric thin films based on the Tilley–Zeks model . J. Phys. Soc. Jpn. , 76 : 104702
  • Charnaya , E. V. , Pirozerskii , A. L. , Tien , C. and Lee , M. K. 2007 . Ferroelectricity in an array of electrically coupled confined small particles . Ferroelectrics. , 350 : 75 – 80 .
  • Pertsev , N. A. , Zembilgotov , A. G. and Tagantsev , A. K. 1998 . Effect of mechanical boundary conditions on phase diagrams of epitaxial ferroelectric thin films . Phys. Rev. Lett. , 80 : 1988 – 1991 .
  • Glinchuk , M. D. , Eliseev , E. A. , Stephanovich , V. A. and Farhi , R. 2003 . Ferroelectric thin film properties-Depolarization field and renormalization of a “bulk” free energy coefficients . J. Appl. Phys. , 93 : 1150 – 1159 .
  • Gabbasova , K. R. , Pirozerskii , A. L. , Charnaya , E. V. , Tien , C. and Bugaev , A. S. 2012 . Order parameter distribution and phase transition temperature for a thin film with asymmetric boundaries . Ferroelectrics. , 437 : 8 – 15 .
  • Erdelyi , A. , ed. 1953 . Higher Transcendental Functions , Vol. 3 , New York : McGraw-Hill .
  • Tilly , D. R. and Zeks , B. 1984 . Landau theory of phase transitions in thick films . Solid State Commun , 49 : 823 – 827 .

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