A self-consistent approach to soft mode analysis in size driven ferroelectricity |
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| Authors: | Preeti Khare Debanand Sa |
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| Institution: | 1. Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, TN 37831;2. Department of Mathematics, Florida State University, Tallahassee, FL, 32304;3. Department of Mechanical, Aerospace, and Biomedical Engineering, The University of Tennessee, Knoxville, TN 37996;4. Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831;5. Department of Mathematics, University of Manchester, Manchester, UK;6. Bredesen Center for Interdisciplinary Research and Education, The University of Tennessee, Knoxville, TN 37996;7. Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, TN |
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| Abstract: | The polarization distribution in a finite size system obtained through Landau phenomenology is shown to contain unphysical oscillatory parts P. Khare, D. Sa, Solid State Commun. 150 (2010) 172]. Self-consistency in the solution has been used to remove such difficulty and the issue of soft mode in such system has been addressed. The temperature as well as the size dependence of the soft mode frequency is calculated and compared with the experiment. The extrapolation length for the size driven ferroelectricity is argued to behave in a way similar to that of correlation length in phase transition in bulk system. |
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