Saddle-splay elasticity and field induced soliton in nematics
2012 (English)In: Journal of Physics: Condensed Matter, ISSN 0953-8984, E-ISSN 1361-648X, Vol. 24, no 19, 195102- p.Article in journal (Refereed) Published
The symmetry breaking Freedericksz transitions, when a uniformly aligned nematic state is replaced by a homogeneously or periodically distorted state, have been extensively studied before. Here we analyse the influence of the saddle-splay elasticity on the non-linear ground state of a nematic liquid crystal in the presence of a magnetic field above the Freedericksz threshold. We identify the bifurcation point when the localized soliton-like state is linearly unstable with respect to the perturbations of the wavevector in the direction perpendicular to the initial plane of the soliton. This instability occurs only if the ratio of the saddle-splay elastic constant to the elastic modulus of nematics in the one-constant approximation is above the critical value vertical bar K-24/K vertical bar >= 0.707.
Place, publisher, year, edition, pages
2012. Vol. 24, no 19, 195102- p.
Bifurcation points, Critical value, Field induced, Nematic state, Nematics, Saddle-splay elastic constant, Soliton-like, Symmetry-breaking, Wave vector, Elasticity, Magnetic fields, Nematic liquid crystals
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:kth:diva-96439DOI: 10.1088/0953-8984/24/19/195102ISI: 000303501000004ScopusID: 2-s2.0-84859487455OAI: oai:DiVA.org:kth-96439DiVA: diva2:531048
QC 201206052012-06-052012-06-042013-07-01Bibliographically approved