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Presentation

Knots in Liquid Crystals and Skyrmions in Magnetic Materials

Comprehensive Exam

Date:
Time:
2:30 pm – 4:30 pm
Jorgensen Hall Room: 207
Contact:
Physics Department, (402) 472-2770, paoffice@unl.edu
Presented by Rabindra Pahari: The role of topological protection is increasingly used in characterizing and controlling the behavior in a wide range of materials in condensed matter including knots in liquid crystals, quantum Hall effects and skyrmions in magnetic materials. More specifically, a common term used to describe these particles is topological solitons which are particles known as knots of non-zero Hopf-index in continuous physical fields. Such objects were postulated by Gauss in 1833. Despite being known for long time, an effort to observe such particles in the laboratory showed that those particles were either metastable or far from stable. Recently, such particles were experimentally shown to be stable and were found to form a periodic structure in Liquid Crystals (LC). Here we present a discussion of realizing self-assembly of such knots in liquid crystals and make a one-to-one correspondence of such knots in LC to those in magnetic materials, known as skyrmions controlled by the Dzyaloshinskii-Moriya interaction. Also presented will be ideas for new material and experiments to observe these phenomena.

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