1.6k citations · 5.3k across the 32 of their papers we have counts for
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Stable Real-Space Invariants and Topology Beyond Symmetry Indicators
Yoonseok Hwang, Vaibhav Gupta, Frank Schindler +4
We introduce stable real-space invariants (SRSIs), topological invariants defined from adiabatic deformations between Wannier states, generalizing previously discovered local and c…
Two-dimensional Topological Quantum Chemistry and Catalog of Topological Materials
Urko Petralanda, Yi Jiang, Hanqi Pi +4
Two-dimensional topological materials host symmetry-protected, disorder-robust edge states cen- tral to quantum technologies. Yet, they remain scarce compared with their three-dime…
Hofstadter Topology with Real Space Invariants and Reentrant Projective Symmetries
Jonah Herzog-Arbeitman, Zhi-Da Song, Luis Elcoro +1
Adding magnetic flux to a band structure breaks Bloch's theorem by realizing a projective representation of the translation group. The resulting Hofstadter spectrum encodes the non…
Hierarchy of quasi-symmetries and degeneracies in chiral crystal materials CoSi
Lun-Hui Hu, Chunyu Guo, Yan Sun +5
In materials, certain approximated symmetry operations can exist in a lower-order approximation of the effective model but are good enough to influence the physical responses of th…
Topology invisible to eigenvalues in obstructed atomic insulators
Jennifer Cano, L. Elcoro, M. I. Aroyo +2
We consider the extent to which symmetry eigenvalues reveal the topological character of bands. Specifically, we compare distinct atomic limit phases (band representations) that sh…
General Construction and Topological Classification of All Magnetic and Non-Magnetic Flat Bands
Dumitru Călugăru, Aaron Chew, Luis Elcoro +3
Exotic phases of matter emerge from the interplay between strong electron interactions and non-trivial topology. Owing to their lack of dispersion at the single-particle level, sys…