Phenomenological modeling of anisotropic dielectric properties in epitaxial (Pb, Sr)TiO3 thin films

Ding, Yecheng; Ma, Wenhui

doi:10.1063/1.5126727

Cited by 7 publications

(3 citation statements)

References 45 publications

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“…This difference in chemistry is explained by the fact that the phenomenological thermodynamic potential used in this work may overestimate the stability of the c/a-domain regions as well as provide slight variations of the Curie temperature values for different compositions of strontium. [48,49] Additionally, there are varying reports on the compositions and temperatures at which the Pb 1−x Sr x TiO 3 crystal becomes cubic [50][51][52] which also plays a factor in directly translating the chemistries between simulation and experiment. Considering these numerical and experimental constraints, we believe such differences between the two curves are inconsequential to the main conclusions of the present study and the trends of the data and resulting structures are found to be identical.…”

Section: Resultsmentioning

confidence: 99%

“…The relevant free energy coefficients and material constants used in the present calculations for the Pb 1−x Sr x TiO 3 thin films were calculated as weighted averages of those for pure PbTiO 3 and SrTiO 3 except for α 1 . [49] A so-called linearly averaged dielectric stiffness α 1 was chosen as was previously used in the literature, [49] that is, www.advmat.de www.advancedsciencenews.com Phase-Field Simulations: To simulate the polarization distribution and domain structure development in the single layer Pb 1−x Sr x TiO 3 thin films, the phase-field method was utilized. The evolution of the polarization structure was governed by solving the time-dependent Ginzburg-Landau equation, that is, , ,…”

Section: Methodsmentioning

confidence: 99%

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Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films

et al. 2022

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Depending on the system, the characteristic length, or period, of these patterns can vary from a few nanometers (as in directed self-assembly of block copolymers in nanolithography) [4] to a few microns (as in ripple patterns of alternating superconducting and normal regions in type-I superconductors) [7] to centimeters (as in convective roll patterns in CO 2 gas undergoing a Rayleigh-Benard instability). [8] It is the presence of multiple competing interaction forces that gives rise to such spatial inhomogeneities in otherwise uniform ground states. Such modulations can also arise in other order parameters, such as magnetization in films of rare-earth garnets and polarization in ferroelectric films. For example, in thin plates of barium scandium ferrite, application of a magnetic field has been shown to transform the stripe domain state into a periodic array of magnetic bubbles/skyrmions due to the interaction between the long-range magnetodipolar force, Dzyaloshinskii-Moriya interaction, and exchange interactions. [9] Ferroelectric materials also provide a rich design space for tuning material structure and properties by changing mechanical and electrical boundary conditions. For example, interesting modulations of polarization including polarization vortices, [10] skyrmions, [11] and merons [12] can be observed as one manipulates the energy balance with the boundary conditions. More generally, when grown as films on an appropriate crystalline substrate, ferroelectric materials can accommodate lattice-mismatch stress by forming various patterns of ferroelastic domains. [13] In the case of a tetragonal ferroelectric such as PbTiO 3 grown on REScO 3 substrates (where RE = Dy, Gd, Tb, Sc, Nd), [14] different types of 90° domain configurations form, either so-called c/a (wherein the polar axis alternates from being aligned along the out-of-plane and in-plane directions from domain to domain) or a 1 /a 2 (wherein the polar axis is always aligned in the plane of the film, but alternates between being aligned along the [100] or [010]) domains can be achieved depending on the strain imposed by the substrate. [15] Furthermore, these domain structures, when controlled to have similar energies, can produce coexisting mixed-phase polarization structures. [16] Such coexisting structures have been shown to exhibit facile interconversion between polarization states upon application of mechanical [17] and electrical [18] stimuli.The potential for creating hierarchical domain structures, or mixtures of energetically degenerate phases with distinct patterns that can be modified continually, in ferroelectric thin films offers a pathway to control their mesoscale structure beyond lattice-mismatch strain with a substrate. Here, it is demonstrated that varying the strontium content provides deterministic strain-driven control of hierarchical domain structures in Pb 1−x Sr x TiO 3 solid-solution thin films wherein two types, c/a and a 1 /a 2 , of nanodomains can coexist. Combining phase-field simulations, epitaxial thin-film growth, ...

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films

et al. 2022

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“…where 𝛼 i , 𝛼 ij , and 𝛼 ijk are the dielectric stiffness coefficients measured under constant stress. For Pb 1−x Sr x TiO 3, the coefficients were calculated as weighted averages of those for pure PbTiO 3 [48] and SrTiO 3 , [49] except for 𝛼 1 where the linearly averaged dielectric stiffness was employed as previously used in the literature: [50] 𝛼 The elastic energy density is expressed as,…”

Section: Methodsmentioning

confidence: 99%

Exchange‐Interaction‐Like Behavior in Ferroelectric Bilayers

et al. 2023

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Interlayer coupling in materials, such as exchange interactions at the interface between an antiferromagnet and a ferromagnet, can produce exotic phenomena not present in the parent materials. While such interfacial coupling in magnetic systems is widely studied, there is considerably less work on analogous electric counterparts (i.e., akin to electric “exchange‐bias‐like” or “exchange‐spring‐like” interactions between two polar materials) despite the likelihood that such effects can also engender new features associated with anisotropic electric dipole alignment. Here, electric analogs of such exchange interactions are reported, and their physical origins are explained for bilayers of in‐plane polarized Pb1−xSrxTiO3 ferroelectrics. Variation of the strontium content and thickness of the layers provides for deterministic control over the switching properties of the bilayer system resulting in phenomena analogous to an exchange‐spring interaction and, leveraging added control of these interactions with an electric field, the ability to realize multistate‐memory function. Such observations not only hold technological promise for ferroelectrics and multiferroics but also extend the similarities between ferromagnetic and ferroelectric materials to include the manifestation of exchange‐interaction‐like phenomena.

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Achieving excellent ferroelectric and dielectric performance of HfO2/ZrO2/HfO2 thin films under low operating voltage

Yan,

Liao,

Cao

et al. 2023

Journal of Alloys and Compounds

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Phenomenological modeling of anisotropic dielectric properties in epitaxial (Pb, Sr)TiO3 thin films

Cited by 7 publications

References 45 publications

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films

Exchange‐Interaction‐Like Behavior in Ferroelectric Bilayers

Achieving excellent ferroelectric and dielectric performance of HfO2/ZrO2/HfO2 thin films under low operating voltage

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Phenomenological modeling of anisotropic dielectric properties in epitaxial (Pb, Sr)TiO3 thin films

Cited by 7 publications

References 45 publications

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb1−xSrxTiO3 Thin Films

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb1−xSrxTiO3 Thin Films

Exchange‐Interaction‐Like Behavior in Ferroelectric Bilayers

Achieving excellent ferroelectric and dielectric performance of HfO2/ZrO2/HfO2 thin films under low operating voltage

Contact Info

Product

Resources

About

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films

Strain‐Driven Mixed‐Phase Domain Architectures and Topological Transitions in Pb₁₋_xSr_xTiO₃ Thin Films