Landau theory of second-order phase transitions in ferroelectric films

Ong, Lye‐Hock; Osman, Junaidah

doi:10.1103/physrevb.63.144109

Cited by 80 publications

(57 citation statements)

References 51 publications

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“…To describe the polarization P (E n ) we use the Landau-GinzburgDevonshire theory [29][30][31][32][33] with the free energy density written in the form…”

Section: B Local Polarization and Susceptibilitymentioning

confidence: 99%

Interplay of Coulomb blockade and ferroelectricity in nanosized granular materials

et al. 2014

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We study electron transport properties of composite ferroelectrics -materials consisting of metallic grains embedded in a ferroelectric matrix. In particular, we calculate the conductivity in a wide range of temperatures and electric fields, showing pronounced hysteretic behavior. In weak fields, electron cotunneling is the main transport mechanism. In this case, we show that the ferroelectric matrix strongly influences the transport properties through two effects: i) the dependence of the Coulomb gap on the dielectric permittivity of the ferroelectric matrix, which in turn is controlled by temperature and external field; and ii) the dependence of the tunneling matrix elements on the electric polarization of the ferroelectric matrix, which can be tuned by temperature and applied electric field as well. In the case of strong electric fields, the Coulomb gap is suppressed and only the second mechanism is important. Our results are important for i) thermometers for precise temperature measurements and ii) ferrroelectric memristors.

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“…To describe the polarization P (E n ) we use the Landau-GinzburgDevonshire theory [29][30][31][32][33] with the free energy density written in the form…”

Section: B Local Polarization and Susceptibilitymentioning

confidence: 99%

Interplay of Coulomb blockade and ferroelectricity in nanosized granular materials

et al. 2014

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“…Because this temperature in the films depends on the film thickness, this can lead to the crossover from the second-order phase transition to the first-order one with film-thickness decrease. This crossover is not expected in the traditional LGD model for the displacement-type ferroelectrics with only one coefficient dependent on temperature, as was shown for the ferroelectric films recently [1,2,11].…”

Section: Discussionmentioning

confidence: 83%

The description of size effects in films of order–disorder ferroelectrics on the basis of the renormalized free energy

Eliseev¹,

Glinchuk

2004

Physica Status Solidi (b)

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PACS 77.80.Bh, 77.84.Fa Films of order -disorder-type ferroelectrics were considered in the mean-field approximation of the Ising model taking into account the depolarization field and four-dipole interactions. It was shown that this system could be described on the basis of the renormalized bulk system free energy with two-dipole interaction constant dependent on the film thickness, surface and depolarization field characteristics. This led to the size-driven phase transition between paraelectric and ferroelectric phases with transition temperature dependent on the film thickness. For small values of the four-dipole interaction constant, the size-driven crossover from the first-order phase transition to the second-order one with film-thickness change was forecasted. An analytical expression for the tricritical point temperature and thickness was obtained. The increase of the four-dipole interaction constant led to the first-order phase-transition existence independently of the film thickness, with the temperature region of the phases' coexistence widening with thickness decrease. The phase diagram in coordinates temperature-film thickness and the order parameter were calculated with the help of the derived free energy.

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“…In theory, the properties of the second-order transformation in ferroelectric thin films were studied by Ong et al within the thermodynamic approach. They established an analytic model to describe the phase transformation and obtained the results which shown the importance of the size and surface effects on the phase transformation [10]. Using the time dependent Ginzburg-Landau-Devonshire (GLD) theory, Wang et al obtained analytic expressions for the critical conditions that control the transformation between the ferroelectric and paraelectric states [11].…”

Section: Introductionmentioning

confidence: 99%

Properties of Phase Transformation of Ferroelectric Thin Films with Surface Layers

Cui¹,

Xu²,

Che³

et al. 2011

JMP

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Using the generalized Ginzburg-Landau-Devonshire theory, the characteristics of phase transformation of a ferroelectric thin film with surface layers are investigated. We study the effect of the surface layer on the properties (coercive field, critical thickness) of a ferroelectric thin film. Our theoretical results show that the surface layer is likely to answer for the emergence of phase transformation.

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Landau theory of second-order phase transitions in ferroelectric films

Cited by 80 publications

References 51 publications

Interplay of Coulomb blockade and ferroelectricity in nanosized granular materials

Interplay of Coulomb blockade and ferroelectricity in nanosized granular materials

The description of size effects in films of order–disorder ferroelectrics on the basis of the renormalized free energy

Properties of Phase Transformation of Ferroelectric Thin Films with Surface Layers

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