Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-24T18:38:42.841Z Has data issue: false hasContentIssue false
  • English
  • Français

Domain Structures and Phase Diagram in 2D Ferroelectrics Under Applied Biaxial Strains - Phase Field Simulations and Thermodynamic Calculations

Published online by Cambridge University Press:  01 February 2011

Jie Wang ,
Yulan Li ,
Long-Qing Chen  and
Tong-Yi Zhang
Jie Wang
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
Yulan Li
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
Long-Qing Chen
Affiliation:
Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
Tong-Yi Zhang*
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
*
*Corresponding author, Tel: (852) 2358-7192, Fax: (852) 2358-1543, E-mail: mezhangt@ust.hk
Get access

Abstract

Absract:The microscopic domain structures in 2D ferroelectrics under applied biaxial strains are investigated using a phase field model based on the time-dependent Ginzburg-Landau equation that takes both long-range electric and -elastic interactions into account. The stable polarization patterns are simulated at different temperatures and applied inequiaxial strains. The results show that the ferroelectrics transfer from multi-domain state to single-domain state when temperature surpasses a critical value. On the other hand, the macroscopic equilibrium polarization states are also studied through a nonlinear thermodynamic theory. The corresponding transition from a1, a2 state (p1 ≠ 0, P2 ≠ 0) to a1 state (p1 ≠0, P2 = 0) or a2 state (p2 ≠ 0, P2 = 0) is also found from the “strain-straintemperature” phase diagram, which is constructed by minimizing Helmholtz free energy.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 881: Symposium CC – Coupled Nonlinear Phenomena Modeling and Simulation for Smart, Ferroic and Multiferroic Materials , 2005 , CC6.2
Copyright
Copyright © Materials Research Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Zhang, T.Y., Zhao, M.H. and Tong, P., Adv. Appl. Mech. 38, 147 (2002).Google Scholar
2 Lines, M.E. and Glass, A.M., Principles and applications of ferroelectrics and related materials. Oxford: Clarendon press (1977).Google Scholar
3 Pertsev, N.A., Zembilgotov, A.G. and Tagantsev, A.K., Phys. Rev. Lett. 80, 1988 (1998).Google Scholar
4 Oh, S.H. and Jang, H.M., Appl. Phys. Lett. 72, 1457 (1998).Google Scholar
5 Emelyanov, A. Y., Pertsev, N.A. and Kholkin, A.L., Phys. Rev. B 66, 214108 (2002).Google Scholar
6 Amin, A., Newnhan, R.E. and Cross, L.E., Phys. Rev. B 34, 1595 (1986).Google Scholar
7 Koukhar, V.G., Pertsev, N.A. and Waser, R., Appl. Phys. Lett. 78, 530 (2001).Google Scholar
8 Kelman, M.B., Mclntyre, P.C., Hendrix, B.C., Bilodeau, S.M. and Roeder, J.F., J. Appl. Phys 93, 9231 (2003).Google Scholar
9 Hu, H.L. and Chen, L.Q., J. Am. Ceram. Soc. 81, 492 (1998).Google Scholar
10 Wang, J., Shi, S.Q., Chen, L.Q., Li, Y.L. and T.Zhang, Y., Acta Mater 52, 749 (2004).Google Scholar
11 Nambu, S. and Sagala, D.A., Phys. Rev. B 50, 5838 (1994).Google Scholar
12 Li, Y.L., Hu, S.Y., Liu, Z.K. and Chen, L.Q., Acta Mater. 50, 395 (2002).Google Scholar
13 Wang, J., Li, Y.L., Chen, L.Q. and Zhang, T.Y., Acta Mater 53, (2005) (in press).Google Scholar