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A phase-field study of domain dynamics in ferroelectric BCT-BZT system

Published online by Cambridge University Press:  23 May 2016

Soumya Bandyopadhyay ,
Tushar Jogi ,
Kumaraswamy Miriyala ,
Ranjith Ramadurai  and
Saswata Bhattacharyya
Soumya Bandyopadhyay*
Affiliation:
Department of Materials Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, India-502285
Tushar Jogi
Affiliation:
Department of Materials Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, India-502285
Kumaraswamy Miriyala
Affiliation:
Department of Materials Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, India-502285
Ranjith Ramadurai
Affiliation:
Department of Materials Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, India-502285
Saswata Bhattacharyya
Affiliation:
Department of Materials Science and Metallurgical Engineering, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, India-502285
*
*Corresponding Author (email address- [email protected])
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Abstract

We present a thermodynamically consistent phase-field model describing the free energy of perovskite-based BCT-BZT solid solution containing an intermediate morphotropic phase boundaries. The Landau coefficients are derived as functions of composition of zirconium. The electrostrictive and elastic constants are appropriately chosen from experimental findings. The resulting Landau free energy is constructed to describe the stable polarization states as a function of composition. The evolution of the polarization order parameters at a particular composition is described by a set of time-dependent Ginzburg-Landau (TDGL) equations. Additionally, we solve Poisson’s equation and mechanical equilibrium equation to account for the ferroelectric/ferroelastic interactions. We have performed two dimensional and three-dimensional simulations with appropriate electrical boundary conditions to study the effect of external electric field on domain dynamics in BCT-BZT system at the equimolar composition.

Keywords

ferroelectricsimulationphase transformation
Type
Articles
Information
MRS Advances , Volume 1 , Issue 40: Characterization and Modeling of Materials , 2016 , pp. 2783 - 2788
Copyright
Copyright © Materials Research Society 2016 

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References

REFERENCES

Kittel, Charles. Introduction to solid state physics. Wiley, 2005, p.379.Google Scholar
Lines, Malcolm E., and Glass, Alastair M.. Principles and applications of ferroelectrics and related materials. Oxford university press, 1977. P 1–117 Google Scholar
Haertling, GH. Journal of the American Ceramic Society; 82(4):797–818 (1999).Google Scholar
Heitmann, A. A. and Rossetti, G. A., Integrated Ferroelectrics; Vol. 126, Issue 1 (2011)Google Scholar
Xue, D, Zhou, Y, Bao, H, Zhou, C, Gao, J, Ren, X. J. of App. Phys.109(5):054110(2011).CrossRefGoogle Scholar
Gao, J, Xue, D, Wang, Y, Wang, D, Zhang, L, Wu, H, Guo, S, Bao, H, Zhou, C, Liu, W, Hou, S. App. Phys. Let. 99(9):092901. (2011)CrossRefGoogle Scholar
Bao, H, Zhou, C, Xue, D, Gao, J, Ren, X. J. of Phys. D: App Phys.43(46):465401 (2010).Google Scholar
Keeble, DS, Benabdallah, F, Thomas, PA, Maglione, M, Kreisel, J., App. Phys Let. 4; 102(9): 092903 (2013).CrossRefGoogle Scholar
Cao, Y, Sheng, G, Zhang, JX, Choudhury, S, Li, YL, Randall, CA, Chen, LQ. App Phys. Let.; 97(25):252904(2010).Google Scholar
Chen, LQ. Annual review of materials research; 32(1):113–40 (2002).Google Scholar
Chen, LQ. Journal of the American Ceramic Society; 91(6):1835–44 (2008).Google Scholar
Strukov, BA, Levanyuk, AP. Ferroelectric phenomena in crystals: physical foundations. Springer Science & Business Media; 2012, p. 1–47 Google Scholar
Chen, LQ; Physics of ferroelectrics: A modern perspective; Springer; p.363–369 Google Scholar
Heitmann, AA, Rossetti, GA Jr., Phil. Mag; 90(1-4):71–87 (2010).CrossRefGoogle Scholar
Bell, AJ and Furman, E. Ferroelectrics; 293(1):19–31(2003).CrossRefGoogle Scholar
Moura, F, Simões, AZ, Stojanovic, BD, Zaghete, MA, Longo, E, Varela, JA., J. of Alloys and Comp.;462(1):129–34 (2008).Google Scholar
Cai, W., Fu, C., Gao, J., Chen, X., Zhang, Q; Int. Ferroelectrics, Vol. 113, Iss. 1, (2010)Google Scholar
Liang, L, Li, YL, Chen, LQ, Hu, SY, Lu, GH. J of App. Phys..; 106(10):104118 (2009).Google Scholar
Wang, B. Mechanics of advanced functional materials, Springer Science & Business Media; 2013, p. 325–370 Google Scholar
Li, YL, Hu, SY, Chen, LQ., Journal of applied physics; 97(3):034112 (2005).Google Scholar
Aravind, VR, Morozovska, AN, Bhattacharyya, S, Lee, D, Jesse, S, Grinberg, I, Li, YL, Choudhury, S, Wu, P, Seal, K, Rappe, AM., Physical Review B.;82(2):024111 (2010).CrossRefGoogle Scholar
Khachaturyan, AG, Theory of Structural Transformations in Solids, Wiley, 1983 Google Scholar
Khachaturyan, AG and Shatalov, GA, Sov. Phys., JETP 29,557 (1969)Google Scholar
Chen, L.Q. and Shen, J.; Comput. Phys. Commun; 108,Iss 2–3 (1998)Google Scholar
Hu, HL, Chen, LQ., J. of the Amer. Ceramic Soc.; 81(3):492–500 (1998).Google Scholar
Wang, S, Yi, M, Xu, BX., International Journal of Solids and Structures (2016).Google Scholar