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arXiv · 0705.3499

Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions

Dung-Hai Lee·Guang-Ming Zhang·Tao Xiang
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Abstract

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy defect states. This provides a natural connection between novel defects in the two-dimensional $p_{x}+ip_{y}$ superconductor, the Kitaev model, the fractional quantum Hall effect, and the one-dimensional domain wall of polyacetylene.

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Dung-Hai Lee, Guang-Ming Zhang, Tao Xiang. 2007-10-11. Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions. https://doi.org/10.1103/physrevlett.99.196805

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