2008
DOI: 10.1080/10584580802107684
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Stability of Vortex Phases in Ferroelectric Easy-Plane Nano-Cylinders

Abstract: Bounded charges induced by the polarization gradient in finite-

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Cited by 44 publications
(40 citation statements)
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“…The domain structure of the NW is visualized by color maps in red, green, and blue (RGB) for components P x , P y , and P z , respectively, as shown in Figure 2(a) (Ploting details are given in the Supplemental Material[26]), and the colored arrows represent the in-plane polarization distribution P x , P y corresponding to the vortex structures in Figure 2(a). Unlike the reported multi-vortex structures in nano-geometries confined in a two dimensional plane [17], the vortex (in the clockwise direction) and antivortex (counter clockwise direction) structures coexist along the axis of the R = 22.4 nm NW in the absence of an external electric field, but not in the same plane. Figure 2(b) shows the magnitude of the polarization in the NW.…”
Section: Resultsmentioning
confidence: 73%
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“…The domain structure of the NW is visualized by color maps in red, green, and blue (RGB) for components P x , P y , and P z , respectively, as shown in Figure 2(a) (Ploting details are given in the Supplemental Material[26]), and the colored arrows represent the in-plane polarization distribution P x , P y corresponding to the vortex structures in Figure 2(a). Unlike the reported multi-vortex structures in nano-geometries confined in a two dimensional plane [17], the vortex (in the clockwise direction) and antivortex (counter clockwise direction) structures coexist along the axis of the R = 22.4 nm NW in the absence of an external electric field, but not in the same plane. Figure 2(b) shows the magnitude of the polarization in the NW.…”
Section: Resultsmentioning
confidence: 73%
“…The vortex-to-polarization phase transition in Pb(ZrTi)O 3 nanoparticles [16] was first predicted on the basis of abinitio calculations. Thereafter, vortex states with geometrical textures and critical temperatures were studied in two dimensional systems [17]. In ferroelectric nanowires (NWs), the vortex structure has also been inferred via first-principle calculations [18].…”
Section: Introductionmentioning
confidence: 99%
“…Figure 2 illustrates the faceting that develops on these initially circular domain patterns after one day at zero field. The original Bessel-function-like domain pattern [16,17]is now roughly hexagonal.…”
Section: Methodsmentioning
confidence: 99%
“…This also explains why such vortex domains were never observed with slow rise time or sinusoidal voltages. It is worthwhile emphasizing that similar vortex domain structures in ferroelectric cylinders were recently predicted in Luk'yanchuk's theoretical paper [23], which shows analytically that the stable domain configuration in a thin PZT disc under an applied field is a second-order Bessel function appearing with an unswitched edge and a "hole" in the middle.…”
mentioning
confidence: 91%