Anomalous coupling between topological defects and curvature

Details Anomalous coupling between topological defects and curvature Anomalous coupling between topological defects and curvature

2004-06-15

arxiv.org/abs/cond-mat/0406329v2

Phys.Rev.Lett. 93 (2004) 215301

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures, minor changes, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.215301

We investigate a counterintuitive geometric interaction between defects and curvature in thin layers of superfluids, superconductors and liquid crystals deposited on curved surfaces. Each defect feels a geometric potential whose functional form is determined only by the shape of the surface, but whose sign and strength depend on the transformation properties of the order parameter. For superfluids and superconductors, the strength of this interaction is proportional to the square of the charge and causes all defects to be repelled (attracted) by regions of positive (negative) Gaussian curvature. For liquid crystals in the one elastic constant approximation, charges between 0 and $4\pi$ are attracted by regions of positive curvature while all other charges are repelled.

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