Weak indices and dislocations in general topological band structures
arXiv:1006.5454
Abstract
It has recently been shown that crystalline defects - dislocation lines - in three dimensional topological insulators, can host protected one dimensional modes propagating along their length. We generalize this observation to the case of topological superconductors and other insulators of the Altland Zirnbauer classification, in d=2,3 dimensions. In general, protected dislocation modes are controlled by the topological indices in (d-1) dimensions. This is shown by relating this feature to characteristic properties of surface states of these topological phases. This observation also allows us to constrain these surface states properties, which is illustrated by an addition formula for (d-1) and (d-2) indices of a topological superconductor.
Cited by in corpus (5)
- Torsion, Parity-odd Response and Anomalies in Topological States
- Topology and localization of a periodically driven Kitaev model
- Topological Pair-Density-Wave Superconducting States
- Observing 0D subwavelength-localized modes at ~100 THz protected by weak topology
- Quantum phase transitions and a disorder-based filter in a Floquet system