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Landau-Ginzburg-Devonshire theory for electromechanical hysteresis loop formation in piezoresponse force microscopy of thin films

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4 Author(s)
Morozovska, A.N. ; Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 41, pr. Nauki, Kiev 03028, UkraineInstitute for Problems of Materials Science, National Academy of Sciences of Ukraine, 3, Krjijanovskogo, Kiev 03142, UkraineInstitute of Physics, National Academy of Sciences of Ukraine, 46, pr. Nauki, Kiev 03028, UkraineThe Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37922, USA ; Eliseev, E.A. ; Bravina, S.L. ; Kalinin, S.V.

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Electromechanical hysteresis loop formation in piezoresponse force microscopy of thin ferroelectric films is studied with special emphasis on the effects of tip size and film thickness, as well as dependence on the tip voltage frequency. Here, we use a combination of Landau-Ginzburg-Devonshire (LGD) theory for the description of the local polarization reversal, with decoupling approximation for the calculation of the local piezoresponse loops shape, coercive voltages, and amplitude. LGD approach enables addressing both thermodynamics and kinetics of hysteresis loop formation. In contrast to the “rigid” ferroelectric approximation, this approach allows for the piezoelectric tensor component’s dependence on the ferroelectric polarization and dielectric permittivity. This model rationalizes the non-classical shape of the dynamic piezoelectric force microscopy loops.

Published in:

Journal of Applied Physics  (Volume:110 ,  Issue: 5 )

Date of Publication:

Sep 2011

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