Decomposition of topological defects in liquid crystal wells with homeotropic anchoring

Wu, Jin‐Bing; Liu, Mengfei; Zhou, Xuan; Zhang, Zhidong

doi:10.1080/02678292.2021.1909762

Cited by 2 publications

(2 citation statements)

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“…Note that m tot = m represent the total charge of "real" TDs realized in the LC body and the effective charge imposed by NPs, respectively. Individual "real" 2D TDs are commonly carriers of |m| = 1/2 charges [24,25]. On the other hand, a circular-shaped NP is an m = 1 carrier in the µ ≫ 1 regime.…”

Section: Coupling Between Topological Defect and Nanoparticlesmentioning

confidence: 99%

“…In the case of spherical geometry, it holds that g = 0 and m tot = 2. In common conditions, a locally enforced TD bearing |m| > 1/2 tends to decay into its elementary units [24,25] bearing m = m 0 , where m 0 = ±1/2, due to energy reasons. In addition, surface patches exhibiting K g > 0 ( K g < 0 attract [26] TDs bearing m > 0 (m < 0) due to the effective topological charge cancellation (ETCC) mechanism [27].…”

Section: Introductionmentioning

confidence: 99%

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Biaxial Structures of Localized Deformations and Line-like Distortions in Effectively 2D Nematic Films

Mesarec,

Kralj,

Iglič

2024

Nanomaterials

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We numerically studied localized elastic distortions in curved, effectively two-dimensional nematic shells. We used a mesoscopic Landau-de Gennes-type approach, in which the orientational order is theoretically considered by introducing the appropriate tensor nematic order parameter, while the three-dimensional shell shape is described by the curvature tensor. We limited our theoretical consideration to axially symmetric shapes of nematic shells. It was shown that in the surface regions of stomatocyte-class nematic shell shapes with large enough magnitudes of extrinsic (deviatoric) curvature, the direction of the in-plane orientational ordering can be mutually perpendicular above and below the narrow neck region. We demonstrate that such line-like nematic distortion configurations may run along the parallels (i.e., along the circular lines of constant latitude) located in the narrow neck regions of stomatocyte-like nematic shells. It was shown that nematic distortions are enabled by the order reconstruction mechanism. We propose that the regions of nematic shells that are strongly elastically deformed, i.e., topological defects and line-like distortions, may attract appropriately surface-decorated nanoparticles (NPs), which could potentially be useful for the controlled assembly of NPs.

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Section: Coupling Between Topological Defect and Nanoparticlesmentioning

confidence: 99%