XCVI. Theory of barium titanate

Devonshire, A. F.

doi:10.1080/14786444908561372

Cited by 1,138 publications

(376 citation statements)

References 13 publications

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“…46 The evolution of the polarization of the ferroelectric domain can be determined in response to an external mechanical load by expanding Equation (3) to account for the proper crystal symmetry in three dimensions 47 and enforcing the following equilibrium conditions:…”

Section: G(p;σmentioning

confidence: 99%

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
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Section: G(p;σmentioning

confidence: 99%

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

show abstract

“…In the following we exploit f to transition between a single-and double-well potential in analogy to the Landau-Devonshire energy of second-order phase transformations [1,2,3]. Specifically, we fix f y = 0 and f z = f Nz > 0 and vary f x .…”

Section: The Local Energy Potentialmentioning

confidence: 99%

Atomimetic Mechanical Structures with Nonlinear Topological Domain Evolution Kinetics

Frazier

Kochmann

2017

Advanced Materials

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A mechanical metamaterial, a simple, periodic mechanical structure, is reported, which reproduces the nonlinear dynamic behavior of materials undergoing phase transitions and domain switching at the structural level. Tunable multistability is exploited to produce switching and transition phenomena whose kinetics are governed by the same Allen–Cahn law commonly used to describe material‐level, structural‐transition processes. The reported purely elastic mechanical system displays several key features commonly found in atomic‐ or mesoscale physics of solids. The rotating‐mass network shows qualitatively analogous features as, e.g., ferroic ceramics or phase‐transforming solids, and the discrete governing equation is shown to approach the phase field equation commonly used to simulate the above processes. This offers untapped opportunities for reproducing material‐level, dissipative and diffusive kinetic phenomena at the structural level, which, in turn, invites experimental realization and paves the road for new active, intelligent, or phase‐transforming mechanical metamaterials bringing small‐scale processes to the macroscopically observable scale.

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“…Somewhat surprisingly, for the ferroelectric compounds and solid solutions of technological importance, no universal parameterization scheme has been adopted. For example, the Landau polynomial as originally applied to ferroelectric barium titanate by Devonshire 188,189 has been elaborated on many times, and several alternative expressions for the free energy have been reported that reproduce experimental data with varying degrees of agreement. [190][191][192][193][194] The situation for ferroelectric solid solutions is more complicated still, because the dependence of the theory parameters on composition must also be explicitly determined.…”

Section: Challenges For Modeling Of Complex Oxide Heterostructuresmentioning

confidence: 99%

Challenges and opportunities for multi-functional oxide thin films for voltage tunable radio frequency/microwave components

Subramanyam¹,

Cole²,

Sun³

et al. 2013

Journal of Applied Physics

147

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There has been significant progress on the fundamental science and technological applications of complex oxides and multiferroics. Among complex oxide thin films, barium strontium titanate (BST) has become the material of choice for room-temperature-based voltage-tunable dielectric thin films, due to its large dielectric tunability and low microwave loss at room temperature. BST thin film varactor technology based reconfigurable radio frequency (RF)/microwave components have been demonstrated with the potential to lower the size, weight, and power needs of a future generation of communication and radar systems. Low-power multiferroic devices have also been recently demonstrated. Strong magneto-electric coupling has also been demonstrated in different multiferroic heterostructures, which show giant voltage control of the ferromagnetic resonance frequency of more than two octaves. This manuscript reviews recent advances in the processing, and application development for the complex oxides and multiferroics, with the focus on voltage tunable RF/microwave components. The over-arching goal of this review is to provide a synopsis of the current state-of the-art of complex oxide and multiferroic thin film materials and devices, identify technical issues and technical challenges that need to be overcome for successful insertion of the technology for both military and commercial applications, and provide mitigation strategies to address these technical challenges. V C 2013 AIP Publishing LLC.

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XCVI. Theory of barium titanate

Cited by 1,138 publications

References 13 publications

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Atomimetic Mechanical Structures with Nonlinear Topological Domain Evolution Kinetics

Challenges and opportunities for multi-functional oxide thin films for voltage tunable radio frequency/microwave components

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XCVI. Theory of barium titanate

Cited by 1,138 publications

References 13 publications

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)OSeo1, Franzbach2, Koruza3 et al. 2013Phys. Rev. B496261View full textAdd to dashboardCite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)OSeo1, Franzbach2, Koruza3 et al. 2013Phys. Rev. B496261View full textAdd to dashboardCite

Atomimetic Mechanical Structures with Nonlinear Topological Domain Evolution Kinetics

Challenges and opportunities for multi-functional oxide thin films for voltage tunable radio frequency/microwave components

Contact Info

Product

Resources

About

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite

Nonlinear stress-strain behavior and stress-induced phase transitions in soft Pb(Zr1−xTix)O
Seo
¹
,
Franzbach
²
,
Koruza
³

et al. 2013
Phys. Rev. B
49
6
26
1
View full text Add to dashboard Cite