367
Views
13
CrossRef citations to date
0
Altmetric
Invited Articles

A continuum description for cholesteric and nematic twist-bend phases based on symmetry considerations

, , , &
Pages 24-30 | Received 02 May 2016, Accepted 22 Aug 2016, Published online: 07 Sep 2016

References

  • Collyer AA, editor. Liquid crystal polymers: from structures to applications. London: Elsevier Applied Science; 1992.
  • Lelidis I, Durand G. Electric-field-induced isotropic-nematic phase transition. Phys Rev E. 1993;48:3822–3824. DOI:10.1103/PhysRevE.48.3822
  • Freedericksz V, Tsvetkov V. Orientation of anisotropic liquids in thin layers and measurement of some of their elastic constants. Phys Z Sov Union. 1934;6:490.
  • Yang D-K, Wu S-T. Fundamentals of liquid crystal devices. Chichester: Wiley-SID; 2006.
  • Pirkl S. Cholesteric-nematic phase change in wedge electro-optical cell with homeotropic anchoringt. Crys Res Technol. 1991;26:5. DOI:10.1002/crat.2170260523
  • Ribiere P, Oswald P. Nucleation and growth of cholesteric fingers under electric field. J Physique (France). 1990;51:1703. DOI:10.1051/jphys:0199000510160170300
  • Nose T, Miyanishi T, Aizawa Y, et al.. Rotational behavior of stripe domains appearing in hybrid aligned chiral nematic liquid crystal cells. Jpn J Appl Phys. 2010;49:051701. DOI:10.1143/JJAP.49.051701
  • Fuh AY-G, Lin C-H, Huang C-Y. Dynamic pattern formation and beam-steering characteristics of cholesteric gratings. Jpn J Appl Phys. 2002;41:211–218. DOI:10.1143/JJAP.41.211
  • Haas WEL, Adams JE. New optical storage mode in liquid crystals. Appl Phys Lett. 1974;25:535. DOI:10.1063/1.1655299
  • Kerllenevich B, Coche A. Bubble domain in cholesteric liquid crystals. Mol Cryst Liq Cryst. 1981;68:47–55. DOI:10.1080/00268948108073552
  • Oswald P, Baudry J, Rondepierre T. Growth below and above the spinodal limit: the cholesteric-nematic front. Phys Rev E. 2004;70:041702. DOI:10.1103/PhysRevE.70.041702
  • Nemati H, Liu S, Zola RS, et al.. Mechanism of electrically induced photonic band gap broadening in polymer stabilized cholesteric liquid crystals with negative dielectric anisotropies. Soft Matter. 2015;11:1208–1213. DOI:10.1039/C4SM02283A
  • Meyer RB. Structural problems in liquid crystals physics. In: Balian R, Weill G, editors. Molecular fluids, Les Houches lectures, 1973. Les Houches: Gordon and Breach; 1976.
  • Dozov I. On the spontaneous symmetry breaking in the mesophases of achiral banana-shaped molecules. Europhys Lett. 2001;56:247–253. DOI:10.1209/epl/i2001-00513-x
  • Memmer R. Liquid crystal phases of achiral banana-shaped molecules: a computer simulation study. Liq Cryst. 2002;29:483–496. DOI:10.1080/02678290110104586
  • Šepelj M, Lesac A, Baumeister U, et al.. Intercalated liquid-crystalline phases formed by symmetric dimers with an α,ω-diiminoalkylene spacer. J Mater Chem. 2007;17:1154–1165. DOI:10.1039/B612517D
  • Panov VP, Nagaraj M, Vij JK, et al.. Spontaneous periodic deformations in nonchiral planar-aligned bimesogens with a nematic-nematic transition and a negative elastic constant. Phys Rev Lett. 2010;105:167801. DOI:10.1103/PhysRevLett.105.167801
  • Cestari M, Diez-Berart S, Dunmur DA, et al.. Phase behavior and properties of the liquid-crystal dimer 1′′,7′′-bis(4-cyanobiphenyl-4′-yl) heptane: A twist-bend nematic liquid crystal. Phys Rev E. 2011;84:031704. DOI:10.1103/PhysRevE.84.031704
  • Borshch V, Kim Y-K, Xiang J, et al.. Nematic twist-bend phase with nanoscale modulation of molecular orientation. Nat Commun. 2013;4:2635. DOI:10.1038/ncomms3635
  • Adlem K, Čopič M, Luckhurst GR, et al.. Chemically induced twist-bend nematic liquid crystals, liquid crystal dimers, and negative elastic constants. Phys Rev E. 2013;88:022503. DOI:10.1103/PhysRevE.88.022503
  • Chen D, Porada JH, Hooper JB, et al.. Chiral heliconical ground state of nanoscale pitch in a nematic liquid crystal of achiral molecular dimers. Proc Natl Acad Sci USA. 2013;110:15931–15936. DOI:10.1073/pnas.1314654110
  • Wang Y, Singh G, Agra-Kooijman DM, et al.. Room temperature heliconical twist-bend nematic liquid crystal. Cryst Eng Comm. 2015;17:2778–2782. DOI:10.1039/C4CE02502D
  • Chen D, Nakata M, Shao R, et al.. Twist-bend heliconical chiral nematic liquid crystal phase of an achiral rigid bent-core mesogen. Phys Rev E. 2014;89:022506. DOI:10.1103/PhysRevE.89.022506
  • Archbold CT, Davis EJ, Mandle RJ, et al.. Chiral dopants and the twist-bend nematic phase – induction of novel mesomorphic behaviour in an apolar bimesogen. Soft Matter. 2015;11:7547–7557. DOI:10.1039/C5SM01935D
  • Meyer C, Dozov I. Local distortion energy and coarse-grained elasticity of the twist-bend nematic phase. Soft Matter. 2016;12:574–580. DOI:10.1039/C5SM02018B
  • Vanakaras AG, Photinos DJ. A molecular theory of nematic–nematic phase transitions in mesogenic dimers. Soft Matter. 2016;12:2208–2220. DOI:10.1039/C5SM02505B
  • Virga E. Double-well elastic theory for twist-bend nematic phases. Phys Rev E. 2014;89:052502. DOI:10.1103/PhysRevE.89.052502
  • Helfrich W. Deformation of cholesteric liquid crystals with low threshold voltage. Appl Phys Lett. 1970;17:531. DOI:10.1063/1.1653297
  • Hurault J. Static distortions of a cholesteric planar structure induced by magnetic or ac electric fields. J Chem Phys. 1973;59:2086. DOI:10.1063/1.1680293
  • Challa PK, Borshch V, Parri O, et al.. Twist-bend nematic liquid crystals in high magnetic fields. Phys Rev E. 2014;89:060501. DOI:10.1103/PhysRevE.89.060501
  • Barbero G, Evangelista LR, Rosseto M, et al.. Elastic continuum theory: towards understanding of the twist-bend nematic phases. Phys Rev E. 2015;92:030501. DOI:10.1103/PhysRevE.92.030501
  • Barbero G, Evangelista LR. An elementary course on the continuum theory for nematic liquid crystals. Singapore: World Scientific; 2002.
  • Yang D-K, Huang X-Y, Zhu Y-M. Bistable cholesteric reflective displays: materials and drive schemes. Annu Rev Mater Sci. 1997;27:117–146. DOI:10.1146/annurev.matsci.27.1.117
  • Meyer RB. Piezoelectric effects in liquid crystals. Phys Rev Lett. 1969;22:918–921. DOI:10.1103/PhysRevLett.22.918
  • De Gennes PG. The physics of liquid crystals. Oxford: Clarendon Press; 1969.
  • Dmitriev SG. Piezoelectric domains in liquid crystals. Sov Phys JETP. 1972;34:1093.
  • Bobylev YP, Pikin SA. Threshold piezoelectric instability in a liquid crystal. Zh Eksp Teor Fiz. 1977;72:369.
  • Barbero G, Lelidis I. Modulated structures of flexoelectric origin in nematic liquid crystals. Phys Rev E. 2003;67:061708. DOI:10.1103/PhysRevE.67.061708
  • López DO, Robles-Hernández B, Salud J, et al.. Miscibility studies of two twist-bend nematic liquid crystal dimers with different average molecular curvatures. A comparison between experimental data and predictions of a Landau mean-field theory for the NTB–N phase transition. Phys Chem Chem Phys. 2016;18:4394–4404. Correction: Miscibility studies of two twist-bend nematic liquid crystal dimers with different average molecular curvatures. A comparison between experimental data and predictions of a Landau mean-field theory for the NTB–N phase transition, Phys. Chem. Chem. Phys., 2016, 18, 69. DOI:10.1039/C5CP07605F

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.