Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions

Details Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions

2007-05-24

arxiv.org/abs/0705.3499v2

Physical Review Letters, 99, 196805 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures. The figures have been revised. accepted for publication by Physical Review Letters

Scientific paper

10.1103/PhysRevLett.99.196805

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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