Domain glasses: Twin planes, Bloch lines, and Bloch points

Salje, Ekhard K. H.; Carpenter, Myra A.

doi:10.1002/pssb.201552430

Cited by 26 publications

(20 citation statements)

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“…And this year Salje et al [12][13][14] found that ferroelastics are described well by hydrodynamics. The modest breakthrough in the present case follows the recent paper by Scott,3 which suggests that if indeed domain walls follow hydrodynamic flow, they should exhibit hydrodynamic instabilities also.…”

Section: P2mentioning

confidence: 98%

“…5,[12][13][14][15] Salje's Model: The basic assumption in Salje's model is that unlike ferroelectric switching, the hysteresis in ferroelastic switching is dominated by continuum fluid mechanics and not the lattice symmetry. He points out that for the strain reversal step from -S to +S, under a positive (reversing) stress to an initially negative strain, the ferroelastic hysteresis is dominated by viscous flow, with a complex domain structure sometimes p.6 describable as a "domain glass.…”

Section: Helfrich-hurault Mechanismmentioning

confidence: 99%

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Hydrodynamics of domain walls in ferroelectrics and multiferroics: Impact on memory devices

Scott

Evans

Gregg

et al. 2016

Applied Physics Letters

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The standard "Kittel Law" for the thickness and shape of ferroelectric, ferroelastic, or ferromagnet domains assumes mechanical equilibrium. The present paper shows that such domains may be highly nonequilibrium, with unusual thicknesses and shapes. In lead germanate and multiferroic lead zirconate titanate iron tantalate domain wall instabilities resemble hydrodynamics (Richtmyer-Meshkov and Helfrich-Hursault, respectively).Normally in ferroelectrics or ferroelastics the domains are rectilinear with straight edges, and the domain widths satisfy the Landau-Lifshitz-Kittel relationship ("Kittel Law") as proportional to the square root of sample thickness. Here we present data on ferroelectric lead germanate and lead zirconate-titanate-iron-tantalate that exhibit curved circular or parabolic walls and violate the Kittel Law, demonstrating that they are nonequilibrium processes. These display similarities with the Richtmyer-Meshkov and Helfrich-Hursault instabilities in fluid mechanics and are good examples of the "domain glass" model of Salje and Carpenter. Their presence may be detrimental to multiferroic memory applications. p.2Very recently and very surprisingly the dynamics of electron transport in both graphene 1 and some low-temperature metals 2 have been shown to be dominated under some conditions by hydrodynamics. That is, electronic conduction is similar to fluid dynamics, with vortex motion, and not limited by Bloch theory. At about the same time it was shown 3-5 that the ferroelastic domain walls in multiferroics 6 are also controlled by fluid mechanics, with both wrinkling 7-9 and folding 3,4 at certain velocity thresholds, and hence that the domain walls may be treated as ballistic objects in high-viscosity media [n.b., wrinkling involves smoothly curved periodic modulation of domain walls, whereas folding consists of nearly 180-degree changes in direction] . In this sense semi-classical convection processes seem to appear in systems with very different basic dynamics.The application of hydrodynamic models to domain walls in ferroelectrics is however not The application of viscosity models to magnetic domains is even older; Skomski et al. 11 did that exactly twenty years ago. And this year Salje et al. [12][13][14] found that ferroelastics are described well by hydrodynamics. The modest breakthrough in the present case follows the recent paper by Scott, 3 which suggests that if indeed domain walls follow hydrodynamic flow, they should exhibit hydrodynamic instabilities also. And he p.3 showed rope-like folding instabilities. It is a modest paradigm shift to replace the equilibrium domain physics of the "Kittel Law" with these nonequilibrium dynamics.In the present paper we examine data for two systems: Lead germanate, which importantly is NOT ferroelastic, which we examine on a mesoscopic domain scale (microns) and lowfield scale; and lead zirconate-titanate iron tantalate, which is ferroelastic and which we examine on a nm-domain scale.The wrinkling-folding instability critical field E f is...

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Section: P2mentioning

confidence: 98%

Section: Helfrich-hurault Mechanismmentioning

confidence: 99%

Hydrodynamics of domain walls in ferroelectrics and multiferroics: Impact on memory devices

Scott

Evans

Gregg

et al. 2016

Applied Physics Letters

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show abstract

“…Very recently, Salje et al 18,19 proposed the existence of glasses in ferroelastic systems, appearing without the need for any defects, which led him to the concept of "domain glass". The basic idea 20 is that the domain boundaries can generate the defects intrinsically and, at a certain density of domain walls, jamming leads to a Vogel-Fulcher type slowing down of the dynamics around T VF .…”

Section: Introductionmentioning

confidence: 99%

Diverging Relaxation Times of Domain Wall Motion Indicating Glassy Dynamics in Ferroelastics

2018

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Single crystals of PbZrO 3 and LaAlO 3 have been studied by Dynamic Mechanical Analysis measurements in the low frequency range f = 0.02-50 Hz. The complex Young's modulus exhibits a quite rich behavior and depends strongly on the direction of the applied dynamic force. The low frequency elastic response in the [110] c -direction is dominated by domain wall motion, leading to a superelastic softening effect below T c . With decreasing temperature this superelastic softening gradually disappears, due to an increasing relaxation time τ DW of domain wall motion. For PbZrO 3 , τ DW seems to diverge at a finite temperature T VF , indicating glassy behavior of domain freezing.

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“…Tweed has another property: it can form a domain glass with a nonergodic response to external forcing. Domain glass [29,30] can contain polar nanoregions, which are known to exist in relaxor materials [31][32][33][34]. Complex domain structures, including tweed, may be stabilized by defects, while dynamic tweed [26] exists also for very low defect concentrations [35].…”

Section: Introductionmentioning

confidence: 99%

Ferroelastic Domain Boundary-Based Multiferroicity

Salje

Ding

2016

Crystals

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Domain boundary engineering endeavors to develop materials that contain localized functionalities inside domain walls, which do not exist in the bulk. Here we review multiferroic devices that are based on ferroelectricity inside ferroelastic domain boundaries. The discovery of polarity in CaTiO 3 and SrTiO 3 leads to new directions to produce complex domain patterns as templates for ferroic devices.

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Domain glasses: Twin planes, Bloch lines, and Bloch points

Cited by 26 publications

References 100 publications

Hydrodynamics of domain walls in ferroelectrics and multiferroics: Impact on memory devices

Hydrodynamics of domain walls in ferroelectrics and multiferroics: Impact on memory devices

Diverging Relaxation Times of Domain Wall Motion Indicating Glassy Dynamics in Ferroelastics

Ferroelastic Domain Boundary-Based Multiferroicity

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