Phase-field simulation of two-dimensional topological charges in nematic liquid crystals

The concept of topological quantum number, or topological charge, has been used extensively to describe topological defects or solitons. Nematic liquid crystals contain both integer and half-integer topological defects, making them useful models for testing the rules that govern topological defects. Here, we investigated topological defects in nematic liquid crystals using the phase-field method. If there are no defects along a loop path, the total charge number is described by an encircled loop integral. We found that the total charge number is conserved, and the conservation of defects number is determined by a boundary during the generation and annihilation of positive-negative topological defects when the loop integral is confined. These rules can be extended to other two-dimensional systems with topological defects. Published under license by AIP Publishing.

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Work Title Phase-field simulation of two-dimensional topological charges in nematic liquid crystals
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Open Access
Creators
  1. Deshan Liang
  2. Xingqiao Ma
  3. Zhuhong Liu
  4. Hasnain Mehdi Jafri
  5. Guoping Cao
  6. Houbing Huang
  7. Sanqiang Shi
  8. Long-Qing Chen
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Journal of Applied Physics
Publication Date 2020
Publisher Identifier (DOI)
  1. https://doi.org/10.1063/5.0021079
Deposited August 10, 2022

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Version 1
published

  • Created
  • Added Creator Sandra Elder
  • Updated
  • Added Phase-field simulation of two-dimensional topological charges in nematic liquid crystals.pdf
  • Updated License Show Changes
    License
    • https://rightsstatements.org/page/InC/1.0/
  • Published
  • Updated Publisher Identifier (DOI), Publication Date Show Changes
    Publisher Identifier (DOI)
    • https://doi.org/10.1063/5.0021079
    Publication Date
    • 2020-09-28
    • 2020
  • Updated Publisher Show Changes
    Publisher
    • Journal of Applied Physics
  • Deleted Creator Sandra Elder
  • Added Creator Deshan Liang
  • Added Creator Xingqiao Ma
  • Added Creator Zhuhong Liu
  • Added Creator Hasnain Mehdi Jafri
  • Added Creator Guoping Cao
  • Added Creator Houbing Huang
  • Added Creator Sanqiang Shi
  • Added Creator Long-Qing Chen
  • Updated