Edge-following topological states
arXiv:1908.09559 · doi:10.1016/j.geomphys.2020.103796
Abstract
We prove that Chern insulators have topologically protected edge states which not only propagate unidirectionally along a straight line boundary, but also swerve around arbitrary-angled corners and geometric imperfections of the material boundary. This is a physical manifestation of the index theory of certain semigroup operator algebras.
arXiv comment27 pages, 7 figures, revised version for publication in J. Geom. Phys
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- Cobordism invariance of topological edge-following states
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- Topological Lattice Defects by Groupoid Methods and Kasparov's KK-Theory
- 'Real' gerbes and Dirac cones of topological insulators
- Interfaces of discrete systems - spectral and index properties