Topology of Ultralocalized Insulators and Superconductors
Abstract
The topology of an insulator can be defined even when all eigenstates of the system are localized-an extreme case of Anderson insulators that we call ultralocalized. We derive the classification of such ultralocalized insulators in all symmetry classes and dimensions. We clarify their bulk-boundary correspondence and show that ultralocalized systems are in many instances phases of matter not described by the known classification of topological insulators and superconductors. As a consequence, we clarify which conventional topological phases are Wannierizable, and which topological phases cannot exist without delocalized states.
Fields of Study & Subjects
Seismic Imaging and Inversion Techniques
Advanced Mathematical Modeling in Engineering
Physics of Superconductivity and Magnetism
Publication details
- Journal / source
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Volume
- 136
- Issue
- 6
- Pages
- 066601–066601
- Publication date
- 13 January 2026
- Language
- EN