Efficient local classification of parity-based material topology
physics.comp-ph, cond-mat.mes-hall, physics.optics
Submitted: 2026-01-20
Updated: 2026-01-20
Terminology
Sources
- Classification of topological quantum matter with symmetries
- Topological Photonics
- A Short Course on Topological Insulators: Band-structure topology and edge states in one and two dimensions
- Quantized Electric Multipole Insulators
- Topological Insulators and C^*-Algebras: Theory and Numerical Practice
- Mapping topological order in coordinate space
- The spectral localizer for even index pairings
- Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
- Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
- Aperiodic Weak Topological Superconductors
- Quasicrystalline Weyl points and dense Fermi-Bragg arcs
- Classifying topology in photonic crystal slabs with radiative environments
- Amorphous topological insulators constructed from random point sets
- Amorphous topological matter: theory and experiment
- Quantum Hall effect and Landau levels without spatial long-range correlations
- Classification of topological insulators and superconductors in three spatial dimensions
- Periodic table for topological insulators and superconductors
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Topological insulators beyond the Brillouin zone via Chern parity
- Manifestly gauge independent formulations of the Z2 invariants
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