Singular values, nematic disclinations, and emergent biaxiality
Čopar, Simon (Author), Dennis, Mark R. (Author), Kamien, Randall D. (Author), Žumer, Slobodan (Author)

URLURL - Presentation file, Visit http://pre.aps.org/abstract/PRE/v87/i5/e050504 This link opens in a new window

Both uniaxial and biaxial nematic liquid crystals are defined by orientational ordering of their building blocks. While uniaxial nematics only orient the long molecular axis, biaxial order implies local order along three axes. As the natural degree of biaxiality and the associated frame that can be extracted from the tensorial description of the nematic order vanishes in the uniaxial phase, we extend the nematic director to a full biaxial frame by making use of a singular value decomposition of the gradient of the director field instead. The degrees of freedom are unveiled in the form of quasidefects and the similarities and differences between the uniaxial and biaxial phase are analyzed by applying the algebraic rules of the quaternion group to the uniaxial phase.

Keywords:nematic liquid crystals, defects, blue phases, topology
Work type:Not categorized (r6)
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Number of pages:str. 050504-1-050504-5
Numbering:Vol. 87, iss. 5
ISSN on article:1539-3755
COBISS.SI-ID:2560100 Link is opened in a new window
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Record is a part of a journal

Title:Physical review
Shortened title:Phys. rev., E Stat. nonlinear soft matter phys.
Publisher:Published by the American Physical Society through the American Institute of Physics
COBISS.SI-ID:1737316 This link opens in a new window

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