Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions

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 $p_x+i{p}_y$ superconductor, the Kitaev model, the fractional quantum Hall effect, and the one-dimensional domain wall of polyacetylene.

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

References in corpus (7)

• Dissipationless Quantum Spin Current at Room Temperature
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• Half-Filled Lowest Landau Level on a Thin Torus
• Abelian and Non-abelian Hall Liquids and Charge Density Wave: Quantum Number Fractionalization in One and Two Dimensions
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• The Pfaffian quantum Hall state made simple--multiple vacua and domain walls on a thin torus

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