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research article

Effective-surface-energy approach for size effects in ferroics

Wang, Jin  
•
Tagantsev, Alexander K.
•
Setter, Nava  
2015
Physical Review B

We present a simple approach enabling analytical treatments of size effects in ferroelectric samples of complicated shapes for the cases where long-range depolarizing effects are not involved. The key element of the approach is the presentation of the energy of the system as the sum of the bulk and effective surface energy (like in the classical nucleation problem), while the latter is expressed as a function of the bulk value of the order parameter. The effective surface energy is calculated in terms of the Kretschmer-Binder framework. The size-driven shift of T-C in the ferroelectric thin films with in-plane polarization and the nanowires with axial polarization is studied using the proposed approach and the results are compared with those exact. In the limit of large extrapolation length, the approach reproduces the exact results (analytical and numerical). For short extrapolation lengths, it can provide a good approximation to the exact results for the case of second-order phase transitions. For ferroelectrics with the first-order phase transition having the maximal correlation length smaller than the extrapolation length (a common situation in perovskites), the approach provides as well an appropriate description of the size effect on the transition temperature. The proposed approach can be used for the description of the size effect not only in ferroelectrics, but in other ferroics as well.

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Type
research article
DOI
10.1103/PhysRevB.91.125432
Web of Science ID

WOS:000351875800006

Author(s)
Wang, Jin  
Tagantsev, Alexander K.
Setter, Nava  
Date Issued

2015

Publisher

American Physical Society

Published in
Physical Review B
Volume

91

Issue

12

Article Number

125432

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LC  
Available on Infoscience
May 29, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/114403
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