Polar Smectic Films

Kraus, Isabelle; Meyer, Robert B.

doi:10.1103/physrevlett.82.3815

Cited by 29 publications

(25 citation statements)

References 18 publications

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“…Among the equilibrium textures, we have found two kinds of reversing spirals, simple ones that are absolutely stable textures, and metastable ones of a more dramatic appearance, that resemble closely the reversing spiral reported in Ref. [5].…”

Section: Robert B Meyersupporting

confidence: 79%

“…Illustrations of a texture configuration that resembles the reversing spiral observed experimentally in Ref [5],. when f(2) ′ 0 (0) = −0.4659, κ = 1, β = 0.90, 2ς+ = π − 3.11, R0 = 5, ξ = 0.1, a1 = 10, c1 = 20, and ϕ d = 2.5.…”

mentioning

confidence: 71%

“…Recently, more attention has been paid to the hedgehog patterns, obtained in a circular domain with a central point defect. The reversing spiral is one of the spectacular hedgehog textures discovered in a chiral tilted Smectic C liquid crystal film on water [5]. Let us emphasize that both systems described above are polar, they are not symmetric under 180 • rotation about an in-plane axis.…”

mentioning

confidence: 94%

“…Although a theoretical approach to solutions for hedgehog textures is given in Ref. [5], to the best of our knowledge, a systematic discussion of hedgehog textures in a chiral system has not been presented.In this work, we study a generic model [9] for the texture in a circular domain of a two-dimensional XY -like system. We have found a family of equilibrium configura-tions that can be classified by a new topological number analogous to the winding number that classifies a twodimensional point defect [10].…”

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confidence: 99%

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Chiral hedgehog textures in two-dimensionalXY-like ordered domains

2000

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The textures associated with a point defect centered in a circular domain of a thin film with XY-like ordering have been analyzed. The family of equilibrium textures, both stable and metastable, can be classified by a new radial topological number in addition to the winding number of the defect. Chiral textures are supported in an achiral system as a result of spontaneously broken chiral symmetry. Among these chiral textures, our theoretical analysis accurately describes two categories of recently discovered "reversing spiral" textures, ones that are energetically stable and metastable.

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Section: Robert B Meyersupporting

confidence: 79%

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confidence: 71%

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confidence: 94%

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confidence: 99%

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Chiral hedgehog textures in two-dimensionalXY-like ordered domains

2000

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“…Actually many types of structures to escape from the polar structures have been suggested and observed. The structures with a splayed polarization have been observed in many soft materials [1][2][3][4][5]. It was reported quite recently that the splayed polarization in ferroelectric bent-core molecules induces modulated layer structures with boundaries separating domains with opposite polarizations and opposite layer chirality [6], resulting macroscopically in an antiferroelectric structure.…”

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confidence: 99%

Splayed polarization in the ferroelectric phase of a bent-core liquid crystal as studied by optical second-harmonic generation

2004

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Splayed polarization orientation has been confirmed in the anticlinic ferroelectric phase of a bent-core liquid crystal containing chiral end chains, P-8 -OPIMB6(*), by optical second-harmonic generation (SHG). The in-plane anisotropy of the SHG signal exhibits an unusual six-peak pattern under the rotation of parallel polarizers in the absence of an electric field, while a usual four-peak pattern simulatable using a uniform molecular orientation model is observed under a field. The unusual pattern was explained by considering a splayed polarization orientation including the effect of polarization charges.

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Analysis of a Ginzburg–Landau type energy model for smectic C* liquid crystals with defects

Colbert-Kelly

Phillips

2013

Ann. Inst. H. Poincaré C Anal. Non Linéaire

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This work investigates properties of a smectic C* liquid crystal film containing defects that cause distinctive spiral patterns in the film's texture. The phenomena are described by a Ginzburg-Landau type model and the investigation provides a detailed analysis of minimal energy configurations for the film's director field. The study demonstrates the existence of a limiting location for the defects (vortices) so as to minimize a renormalized energy. It is shown that if the degree of the boundary data is positive then the vortices each have degree +1 and that they are located away from the boundary. It is proved that the limit of the energies for a sequence of minimizers minus the sum of the energies around their vortices, as the G-L parameter ε tends to zero, is equal to the renormalized energy for the limiting state. RésuméDans ce travail on étudie les propriétés d'un film de cristaux liquides smectiques C* contenant des défauts qui produisent des motifs en spirale dans la texture du film. Les phénomènes sont décrits par un modèle de type Ginzburg-Landau dans un domaine borné du plan, et cet article fournit une analyse détaillée des configurations d'énergie minimale du champ de directions du film. On montre l'existence d'une configuration limite pour les défauts (tourbillons) qui minimise une énergie renormalisée. On démontre que si le degré du champ sur le bord du domaine est positif, alors les tourbillons sont dans l'intérieur du domaine et sont chacun de degré +1. On prouve que quand le paramètre ε de Ginzburg-Landau tend vers zéro, pour une suite de minimiseurs, la limite de l'énergie moins la somme des énergies autour des tourbillons est égale à l'énergie renormalisée de l'état limite.

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Polar Smectic Films

Cited by 29 publications

References 18 publications

Chiral hedgehog textures in two-dimensionalXY-like ordered domains

Chiral hedgehog textures in two-dimensionalXY-like ordered domains

Splayed polarization in the ferroelectric phase of a bent-core liquid crystal as studied by optical second-harmonic generation

Analysis of a Ginzburg–Landau type energy model for smectic C* liquid crystals with defects

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