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Is the 2π disclination topologically stable for a 2d nematic liquid crystal?

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For a three dimensional liquid crystal, a $2\pi$ or charge $1$ disclination is topologically unstable. The is generally explained as the disclination can lose its core singularity by "escaping from the third dimension". However, for a two dimensional nematic liquid crystal, is a $2\pi$ disclination stable as there is no the third dimension?

asked Oct 16, 2014 in Theoretical Physics by hongchan (90 points) [ no revision ]

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