Advertisement

Acta Mechanica Solida Sinica

, Volume 25, Issue 4, pp 429–440 | Cite as

Giant Anhysteretic Response of Ferroelectric Solid Solutions with Morphotropic Boundaries: The Role of Polar Anisotropy

  • Yong Ni
  • Armen G. Khachaturyan
Article

Abstract

Computer modeling and simulation for the Pb(Zr1−xTix)O3 (PZT) system reveal the role of polar anisotropy on the giant anhysteretic response and structural properties of morphotropic phase boundary (MPB) ferroelectrics. It is shown that a drastic reduction of the composition-dependent polar anisotropy near the MPB flattens energy surfaces and thus facilitates reversible polarization rotation. It is further shown that the polar anisotropy favors formation of polar domains, promotes phase decomposition and results in a two-phase multidomain state, which response to applied electric field is anhysteretic when the polar domain reorientation is only caused by polarization rotation other than polar domain wall movement. This is the case for the decomposing ferroelectrics under a poling electric field with the formation of a two-phase multidomain microstructure, wherein most domain walls are pinned at the two-phase boundaries. Indication of the microstructure dependence of the anhysteretic strain response opens new avenues to improve the piezoelectric properties of these materials through the microstructure engineering.

Key words

ferroelectric morphotropic phase boundary piezoelectricity phase field ferrodomain 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Uchino, K., Piezoelectric Actuators and Ultrasonic Motors. Boston: Kluwer Academic, 1996.CrossRefGoogle Scholar
  2. [2]
    Fu, H. and Cohen, R.E., Polarization rotation mechanism for ultrahigh electromechanical response in single crystal piezoelectrics. Nature, 2000, 403: 281–283.CrossRefGoogle Scholar
  3. [3]
    Bellaiche, L., Garcia, A. and Vanderbilt, D., Finite-temperature properties of Pb(Zr1-xTix)O3 alloys from first principles. Physical Review Letters, 2000, 84: 5427–5430.CrossRefGoogle Scholar
  4. [4]
    Bellaiche, L., Garcia, A. and Vanderbilt, D., Electric-field induced polarization paths in Pb(Zr1-xTix)O3 alloys. Physical Review B, 2001, 64: 060103.CrossRefGoogle Scholar
  5. [5]
    Noheda, B., Cox, D.E., Shirane, G., Park, S.E., Cross, L.E. and Zhong, Z., Polarization rotation via a Monoclinic phase in the piezoelectric 92% PbZn1/3Nb2/3O3-8% PbTiO3. Physical Review Letters, 2001, 86: 3891–3894.CrossRefGoogle Scholar
  6. [6]
    Du, X.H., Zheng, J., Belegundu, U. and Uchino, K., Crystal orientation dependence of piezoelectric properties of lead zirconate titanate near the morphotropic phase boundary. Applied Physics Letters, 1998, 72: 2421–2423.CrossRefGoogle Scholar
  7. [7]
    Ishibashi, Y. and Iwata, M., Morphotropic phase boundary in solid solution systems of perovskite-type oxide ferroelectrics. Japanese Journal of Applied Physics. Part 2. Letters, 1998, 37: L985–L987.Google Scholar
  8. [8]
    Budimir, M., Damjanovic, D. and Setter, N., Piezoelectric anisotropy-phase transition relations in perovskite single crystals. Journal of Applied Physics, 2003, 94: 6753–6761.CrossRefGoogle Scholar
  9. [9]
    Davis, M., Damjanovic, D. and Setter, N., Electric-field-, temperature-, and stress-induced phase transitions in relaxor ferroelectric single crystals. Physical Review B, 2006, 73:014115.CrossRefGoogle Scholar
  10. [10]
    Khachaturyan, A.G., Ferroelectric solid solutions with morphotropic boundary: rotational instability of polarization, metastable coexistence of phases and nanodomain adaptive states. Philosophical Magazine, 2010, 90: 37–60.CrossRefGoogle Scholar
  11. [11]
    Heitmann, A.A. and Rossetti, Jr., G.A., Thermodynamics of polar anisotropy in morphotropic ferroelectric solid solutions. Philosophical Magazine, 2010, 90:71–87.CrossRefGoogle Scholar
  12. [12]
    Kuwata, J., Uchino, K. and Nomura, S., Phase transitions in the PbZn1/3Nb2/3O3-PbTiO3 system. Ferroelectrics, 1981, 37:579–582.CrossRefGoogle Scholar
  13. [13]
    Shrout, T., Chang, Z.P., Kin, M. and Markgraf, S., Dielectric behavior of single-crystals near the (1 − x)Pb(Mg1/3Nb2/3)O3-(x)PbTiO3 morphotropic phase boundary. Ferroelectrics Letters, 1990, 12: 63–69.CrossRefGoogle Scholar
  14. [14]
    Park, S.E. and Shrout, T.R., Ultrahigh strain and piezoelectric behavior in relaxor based ferroelectric single crystals. Journal of Applied Physics, 1997, 82:1804–1811.CrossRefGoogle Scholar
  15. [15]
    Jaffe, B., Cook, W.R. and Jaffe, H., Piezoelectric Ceramics. London: Academic, 1971.Google Scholar
  16. [16]
    Rossetti, Jr., G.A., Zhang, W. and Khachaturyan, A.G., Phase coexistence near the morphotropic phase boundary in lead zirconate titanate (PbZrO3-PbTiO3) solid solutions. Applied Physics Letters, 2006, 88: 072912.CrossRefGoogle Scholar
  17. [17]
    Rossetti, Jr., G.A. and Khachaturyan, A.G., Inherent nanoscale structural instabilities near morphotropic boundaries in ferroelectric solid solutions. Applied Physics Letters, 2007, 91: 072909.CrossRefGoogle Scholar
  18. [18]
    Rossetti, Jr., G.A., Khachaturyan, A.G., Akcay, G. and Ni, Y., Ferroelectric solid solutions with morphotropic boundaries: Vanishing polarization anisotropy, adaptive, polar glass, and two-phase states. Journal of Applied Physics, 2008, 103: 114113.CrossRefGoogle Scholar
  19. [19]
    Rao, W.F. and Wang, Y.U., Bridging domain mechanism for phase coexistence in morphotropic phase boundary ferroelectrics. Applied Physics Letters, 2007, 90: 182906.CrossRefGoogle Scholar
  20. [20]
    Rao, W.F. and Yang, Y.U., Microstructures of coherent phase decomposition near morphotropic phase boundary in lead zirconate titanate. Applied Physics Letters, 2007, 91: 052901.CrossRefGoogle Scholar
  21. [21]
    Ari-Gur, P. and Benguigui, L., X-ray study of PZT solid-solutions near morphotropic phase transition. Solid State Communications, 1978, 15: 1077–1079.CrossRefGoogle Scholar
  22. [22]
    Noheda, B. and Cox, D.E., Bridging phases at the morphotropic boundaries of lead oxide solid solutions. Phase Transitions, 2006, 79: 5–20.CrossRefGoogle Scholar
  23. [23]
    Frantti, J., Notes of the recent structural studies on lead zirconate titanate. The Journal of Physical Chemistry B, 2008, 112: 6521–6535.CrossRefGoogle Scholar
  24. [24]
    Jin, Y.M., Wang, Y.U., Khachaturyan, A.G., Li, J.F. and Viehland, D., Conformal miniaturization of domains with low domain-wall energy: Monoclinic ferroelectric states near the morphotropic phase boundaries. Physical Review Letters, 2003, 91: 197601.CrossRefGoogle Scholar
  25. [25]
    Jin, Y.M., Wang, Y.U., Khachaturyan, A.G., Li, J.F. and Viehland, D., Adaptive ferroelectric states in systems with low domain wall energy: Tetragonal microdomains. Journal of Applied Physics, 2003, 94: 3629–3640.CrossRefGoogle Scholar
  26. [26]
    Wang, Y.U., Three intrinsic relationships of lattice parameters between intermediate monoclinic M-C and tetragonal phases in ferroelectric Pb[(Mg1/3Nb2/3)(1-x)Tix]O3 and Pb[(Zn1/3Nb2/3)(1-x)Tix]O3 near morphotropic phase boundaries. Physical Review B, 2006,73: 014113.CrossRefGoogle Scholar
  27. [27]
    Wang, Y.U., Diffraction theory of nanotwin superlattices with low symmetry phase. Physical Review B, 2006, 74: 104109.CrossRefGoogle Scholar
  28. [28]
    Wang, Y.U., Diffraction theory of nanotwin superlattices with low symmetry phase: Application to rhombohedral nanotwins and monoclinic M-A and M-B phases. Physical Review B, 2007, 76: 024108.CrossRefGoogle Scholar
  29. [29]
    Rao, W.F. and Wang, Y.U., Domain wall broadening mechanism for domain size effect of enhanced piezoelectricity in crystallographically engineered ferroelectric single crystals. Applied Physics Letters, 2007, 90: 041915.CrossRefGoogle Scholar
  30. [30]
    Wang, Y.U., Field-induced inter-ferroelectric phase transformations and domain mechanisms in high-strain piezoelectric materials: insights from phase field modeling and simulation. Journal of Materials Science, 2009, 44: 5225–5234.CrossRefGoogle Scholar
  31. [31]
    Wada, S., Yako, K., Kakemoto, H., Tsurumi, T. and Kiguchi, T., Enhanced piezoelectric properties of barium titanate single crystals with different engineered-domain sizes. Journal of Applied Physics, 2005, 98: 014109.CrossRefGoogle Scholar
  32. [32]
    Haun, M.J., Furman, E., Jang, S.J. and Cross, L.E., Thermodynamic theory of the lead zirconate-titanate solid-solution system, 1. Phenomenology. Ferroelectrics, 1989, 99: 13–25.CrossRefGoogle Scholar
  33. [33]
    Nambu, S. and Sagala, D.A., Domain formation and elastic long-range interaction in ferroelectric perovskites. Physical Review B, 1994, 50: 5838–5847.CrossRefGoogle Scholar
  34. [34]
    Damjanovic, D., Ferroelectric, dielectric and piezoelectric properties of ferroelectric thin films and ceramics. Report on Progress in Physics, 1998, 61: 1267–1324..CrossRefGoogle Scholar
  35. [35]
    Hu, H.L. and Chen, L.Q., Three-dimensional computer simulation of ferroelectric domain formation. Journal of the American Ceramic Society, 1998, 81: 492–500.CrossRefGoogle Scholar
  36. [36]
    Semenovskaya, S. and Khachaturyan, A.G., Development of ferroelectric mixed states in a random field of static defects. Journal of Applied Physics, 1998, 83: 5125–5136.CrossRefGoogle Scholar
  37. [37]
    Li, Y.L., Hu, S.Y., Liu, Z.K. and Chen, L.Q., Phase-field model of domain structures in ferroelectric thin films. Applied Physics Letters, 2001, 78: 3878.CrossRefGoogle Scholar
  38. [38]
    Ni, Y., Jin, Y.M. and Khachaturyan, A.G., The transformation sequences in the cubic (tetragonal decomposition). Acta Materialia, 2007, 55: 4903–4914.CrossRefGoogle Scholar
  39. [39]
    Ni, Y. and Khachaturyan, A.G., From chessboard tweed to chessboard nanowire structure during pseudospinodal decomposition. Nature Materials. 2009, 8: 410–414.CrossRefGoogle Scholar
  40. [40]
    Khachaturyan, A.G., Theory of Structural Transformations in Solids Ch. 7. New York: Wiley, 1983.Google Scholar
  41. [41]
    Haun, M.J., Thermodynamic theory of the Lead Zirconate-Titanate solid solution system. Ph.D. thesis, The Pennsylvania State University, 1988.Google Scholar
  42. [42]
    Cahn, J.W. and Hilliard, J.E., Free energy of a nonuniform system. 1. Interfacial free energy. Journal of Chemical Physics, 1958, 28: 258–267.CrossRefGoogle Scholar
  43. [43]
    Chen, L.Q. and Shen, J., Applications of semi-implicit Fourier-spectral method to phase field equations. Computer Physics Communications, 1998, 108: 147–158.CrossRefGoogle Scholar
  44. [44]
    Li, J.Y., Rogan, R.C., Ustundag, E. and Bhattacharya, K., Domain switching in polycrystalline ferroelectric ceramics. Nature Materials, 2005, 4: 776–781.CrossRefGoogle Scholar
  45. [45]
    Ren, X.B., Large electric-field-induced strain in ferroelectric crystals by point-defect-mediated reversible domain switching. Nature Materials, 2004, 3: 91–94.CrossRefGoogle Scholar
  46. [46]
    Ni, Y., Jin, Y.M. and Khachaturyan, A.G., Domain structure produced by confined displacive transformation and its response to the applied field. Metallurgical and Materials Transactions A, 2008, 39: 1658–1664.CrossRefGoogle Scholar
  47. [47]
    Rao, W.F. and Wang, Y.U., Control of domain configurations and sizes in crystallographically engineered ferroelectric single crystals: Phase field modeling. Applied Physics Letters, 2010, 97: 162901.CrossRefGoogle Scholar
  48. [48]
    Jayachandran, K.P., Guedes, J.M. and Rodrigues, H.C., Piezoelectricity enhancement in ferroelectric ceramics due to orientation. Applied Physics Letters, 2008, 92: 232901.CrossRefGoogle Scholar
  49. [49]
    Ahluwalia, R., Lookman, T., Saxena, A. and Cao, W.W., Domain-size dependence of piezoelectric properties of ferroelectrics. Physical Review B, 2005, 72: 014112.CrossRefGoogle Scholar
  50. [50]
    Hlinka, J., Ondrejkovic, P. and Marton, P., The piezoelectric response of nanotwinned BaTiO3. Nanotechnology, 2009, 20: 105709.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  1. 1.CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern MechanicsUniversity of Science and Technology of ChinaHefeiChina
  2. 2.Department of Materials Science & EngineeringRutgers UniversityPiscatawayUSA

Personalised recommendations