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Elementary building blocks of nematic disclination networks in densely packed 3D colloidal lattices
Čopar, Simon (Author), Clark, Noel Anthony (Author), Ravnik, Miha (Author), Žumer, Slobodan (Author)

URLURL - Presentation file, Visit http://pubs.rsc.org/en/content/articlelanding/2013/sm/c3sm50475a This link opens in a new window

Abstract
Nematic liquid crystals in frustrated environments are known to form a variety of topological defect conformations - possibly networks - with multiple meta-stable states of the nematic order. Here, we study the defect networks and their reconfigurability in a periodically spatially frustrated nematic, focusing specifically on the network formed in the nematic-filled voids of opal-like closely packed face centred cubic colloidal crystals. Using spherical colloidal particles with homeotropic anchoring, the liquid crystal fills a network of interconnected cavities with complicated surface-imposed conditions, generating a complex defect network of -1/2-winding number disclinations. We show that this network can be decomposed into a network of cubic and tetrahedral nematic elements, allowing us to enumerate the possible network conformations and use topological methods for their characterisation. We use combinatorics and geometry to predict all the possible conformations, their topology, and their free energy. The predictions are completely confirmed with numerical simulations. More generally, the presented results demonstrate an analytic approach towards achieving exactly addressable memory states in soft matter composite materials.

Language:English
Keywords:nematic liquid crystals, disclinations, colloidal crystals
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2013
Number of pages:str. 8203-8209
Numbering:Vol. 9, iss. 34
UDC:544.25
ISSN on article:1744-683X
DOI:10.1039/C3SM50475A Link is opened in a new window
COBISS.SI-ID:2548580 Link is opened in a new window
Views:646
Downloads:175
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Record is a part of a journal

Title:Soft matter
Publisher:Royal Society of Chemistry
ISSN:1744-683X
COBISS.SI-ID:19616551 This link opens in a new window

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