2007
DOI: 10.1080/01411590601092654
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Antiferroelectric thin films phase diagrams

Abstract: In the paper we consider size effects of phase transitions and polar properties of the thin antiferroelectric films. We modified phenomenological approach proposed by Kittel. The EulerLagrange equations were solved by direct variational method. The free energy with renormalized coefficients depending on the film thickness has been derived. The approximate analytical expression for the coefficients dependence on film thickness, temperature, polarization gradient coefficient and extrapolation lengths were obtain… Show more

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Cited by 6 publications
(6 citation statements)
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“…Eliseev et al have considered phenomenological calculation for AFEs and predicted the loss of double hysteresis loops with thin-film thickness. 75 An alternative prediction was made using firstprinciples calculation by Mani et al, where a size-driven phase transition from AFE (PbZrO 3 ) to a FE phase in nanoscale epitaxial thin films under short circuit conditions. These predictions at this time have not been experimentally verified, as sufficiently thin films to test this prediction have not been produced to sufficient quality, and free of strain effects.…”
Section: Size Effects In Afesmentioning
confidence: 99%
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“…Eliseev et al have considered phenomenological calculation for AFEs and predicted the loss of double hysteresis loops with thin-film thickness. 75 An alternative prediction was made using firstprinciples calculation by Mani et al, where a size-driven phase transition from AFE (PbZrO 3 ) to a FE phase in nanoscale epitaxial thin films under short circuit conditions. These predictions at this time have not been experimentally verified, as sufficiently thin films to test this prediction have not been produced to sufficient quality, and free of strain effects.…”
Section: Size Effects In Afesmentioning
confidence: 99%
“…Cross and Okada formulated a consistent continuum phenomenological description of AFE phase transitions by introducing an AFE vector order parameter (� ⃗ q) in addition to the FE vector order parameter ( � ⃗ p), which can be related to the two-sublattice spontaneous polarizations, that is, 75,82,83 A similar model was presented by Balashova and Tagantsev by coupling a structural and FE order parameter to describe the FE to AFE phase transition and corresponding dielectric responses under applied electric fields. 84 It should be emphasized that it is entirely possible there might exist AFE phases in which there are more than two sublattices that have finite spontaneous polarization values.…”
Section: Sublattice Polarizationmentioning
confidence: 99%
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“…Various approaches within the mean-field approximation and using Ising-type Hamiltonians have been developed to unveil the possible interactions taking place in crystals showing FE and AFE behaviors including defect related phenomena. [1][2][3][4][5][6][7][8][9][10][11] Moreover, superlattice and bilayer structures containing FE and AFE components have been both experimentally and theoretically analyzed to compare the impact of interfaces on electrical properties and hysteresis loop shapes. [11][12][13][14][15] Phenomenological approaches and mean-field approximation for the Ising model were adopted where the pseudospin of site i is a function of the average internal field due to the presence of neighboring pseudospins, and where the interaction energy of fluctuations of the spin variables around the mean-value is neglected.…”
mentioning
confidence: 99%
“…A significant number of studies are published focusing on the phase stabilities of AFEs and AFE coupling at interfaces of multicomponent systems through the hysteresis shapes they exhibit as well as coexistence of the FE and AFE phases in a single composition [1][2][3][4][5][6][7][8][9][10][11][12]. In a practical sense, multilayers of FE and AFE components such as PbZr (1-x) Ti x O 3 -PbZrO 3 (PZT-PZ) or PbTiO 3 -PbZrO 3 (PT-PZ) have attracted interest as these structures were shown to exhibit high dielectric constants for critical compositional frequencies when in multilayer form [13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%