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Effects of thickness on the polarization states in epitaxial ferroelectric thin films

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Abstract

The effect of thickness and depolarization field on the polarization states of epitaxial ferroelectric single-domain thin films with anisotropic in-plane misfit strains is studied by using a nonlinear thermodynamic theory with the thickness-dependent Curie temperature. The “thickness-misfit strain” phase diagrams for single-domain PbTiO3 thin films grown on tetragonal substrates are developed with and without depolarization field through minimization of the Helmholtz free energy. The results show that the depolarization field always reduces the region of the c-phase (P 3 ≠ 0, P 1 = P 2 = 0) in the phase diagrams. The critical thickness, at which the ferroelectricity disappears, decreases when the tensile or compressive misfit strain increases.

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References

  1. Shaw T.M., Trolier-McKinstry S., McIntyre P.C.: The properties of ferroelectric films at small dimensions. Ann. Rev. Mater. Sci. 30, 263–298 (2000)

    Article  Google Scholar 

  2. Ahn C.H., Rabe K.M., Triscone J.-M.: Ferroelectricity at the nanoscale: local polarization in oxide thin films and heterostructures. Science 303, 488 (2004)

    Article  Google Scholar 

  3. Stachiotti M.G.: Ferroelectricity in BaTiO3 nanoscopic structures. Appl. Phys. Lett. 84, 251 (2004)

    Article  Google Scholar 

  4. Fong D.D., Stephenson G.B., Streiffer S.K., Eastman J.A., Auciello O., Fuoss P.H., Thompson C.: Ferroelectricity in ultrathin perovskite films. Science 304, 1650 (2004)

    Article  Google Scholar 

  5. Kim Y.S., Kim D.H., Kim J.D., Chang Y.J., Noh T.W., Kong J.H., Char K., Park Y.D., Bu S.D., Yoon J.G., Chung J.S.: Critical thickness of ultrathin ferroelectric BaTiO3 films. Appl. Phys. Lett. 86, 102907 (2005)

    Article  Google Scholar 

  6. Nagarajan V., Prasertchoung S., Zhao T., Zheng H., Ouyang J., Ramesh R., Tian W., Pan X.Q., Kim D.M., Eom C.B., Kohlstedt H., Waser R.: Size effects in ultrathin epitaxial ferroelectric heterostructures. Appl. Phys. Lett. 84, 5225 (2004)

    Article  Google Scholar 

  7. Wang J., Kamlah M., Zhang T.Y.: Phase field simulations of low dimensional ferroelectrics. Acta Mech. 214, 49–59 (2010)

    Article  MATH  Google Scholar 

  8. Junquera J., Ghosez P.: Critical thickness for ferroelectricity in perovskite ultrathin films. Nature 422, 506 (2003)

    Article  Google Scholar 

  9. Zhong W.L., Wang Y.G., Zhang P.L., Qu B.D.: Phenomenological study of the size effect on phase transitions in ferroelectric particles. Phys. Rev. B 50, 698 (1994)

    Article  Google Scholar 

  10. Wang Y.G., Zhong W.L., Zhang P.L.: Surface and size effects on ferroelectric films with domain structures. Phys. Rev. B 51, 5311 (1995)

    Article  Google Scholar 

  11. Li S., Eastman J.A., Li Z., Foster C.M., Newnham R.E., Cross L.E.: Size effects in nanostructured ferroelectrics. Phys. Lett. A 212, 341 (1996)

    Article  Google Scholar 

  12. Glinchuk M.D., Morozovskaya A.N.: Effect of surface tension and depolarization field on ferroelectric nanomaterial properties. Phys. Stat. Sol. (b) 238, 81 (2003)

    Article  Google Scholar 

  13. Glinchuk M.D., Eliseev E.A., Stephanovich V.A.: Ferroelectric thin film properties—depolarization field and renormalization of a “bulk” free energy coefficients. J. Appl. Phys. 93, 1150 (2003)

    Article  Google Scholar 

  14. Wang J., Zhang T.Y.: Influence of depolarization field on polarization states in epitaxial ferroelectric thin films with nonequally biaxial misfit strains. Phys. Rev. B. 77, 014104 (2008)

    Article  Google Scholar 

  15. Lo V.C.: Simulation of thickness effect in thin ferroelectric films using Landau–Khalatnikov theory. J. Appl. Phys. 94, 3353 (2003)

    Article  Google Scholar 

  16. Chew K.H., Wang C.L., Shin F.G., Chan H.L.W., Tilley D.R.: Theory of phase transitions in second-order ferroelectric films: effects of surfaces and surface-induced stress on polarization. Solid State Commun. 123, 457 (2002)

    Article  Google Scholar 

  17. Kretschmer R., Binder K.: Surface effects on phase transitions in ferroelectrics and dipolar magnets. Phys. Rev. B 20, 1065 (1979)

    Article  Google Scholar 

  18. Zhang T.Y.: Strained ferroelectric thin films. Int. J. Appl. Mech. 1, 21–40 (2009)

    Article  Google Scholar 

  19. Pertsev N.A., Zembilgotov A.G., Tagantsev A.K.: Effect of mechanical boundary conditions on phase diagrams of epitaxial ferroelectric thin films. Phys. Rev. Lett. 80, 1988 (1998)

    Article  Google Scholar 

  20. Jiang Q.: On modeling of phase transformation in ferroelectric materials. Acta Mech. 102, 149–165 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  21. Wang J., Zhang T.Y.: Effects of nonequally biaxial misfit strains on the phase diagram and dielectric properties of epitaxial ferroelectric thin films. Appl. Phys. Lett. 86, 192905 (2005)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, 310027, Zhejiang, China

    Jie Wang

  2. Karlsruhe Institute of Technology (KIT), Institute for Applied Materials, Postfach 3640, 76021, Karlsruhe, Germany

    Benjamin Völker & Marc Kamlah

  3. Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

    Tong-Yi Zhang

Authors
  1. Jie Wang
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  2. Benjamin Völker
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  3. Marc Kamlah
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  4. Tong-Yi Zhang
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Correspondence to Jie Wang.

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Wang, J., Völker, B., Kamlah, M. et al. Effects of thickness on the polarization states in epitaxial ferroelectric thin films. Acta Mech 224, 1225–1231 (2013). https://doi.org/10.1007/s00707-013-0869-3

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  • DOI: https://doi.org/10.1007/s00707-013-0869-3

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