1k citations · 3k across the 27 of their papers we have counts for
27 papers
Topology of ultra-localized insulators and superconductors
Bastien Lapierre, Luka Trifunovic, Titus Neupert +1
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 ultra-localized. We derive t…
Fragility of surface states in non-Wigner Dyson topological insulators
Alexander Altland, Piet W. Brouwer, Johannes Dieplinger +3
Topological insulators and superconductors support extended surface states protected against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson…
Topologically localized insulators
Bastien Lapierre, Titus Neupert, Luka Trifunovic
We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases th…
-band Hopf insulator
Bastien Lapierre, Titus Neupert, Luka Trifunovic
We study the generalization of the three-dimensional two-band Hopf insulator to the case of many bands, where all the bands are separated from each other by band gaps. The obtained…
Bulk-and-edge to corner correspondence
Luka Trifunovic
We show that two-dimensional band insulators, with vanishing bulk polarization, obey bulk-and-edge to corner charge correspondence stating that the knowledge of the bulk and the tw…
Higher-order topological band structures
Luka Trifunovic, Piet W. Brouwer
The interplay of topology and symmetry in a material's band structure may result in various patterns of topological states of different dimensionality on the boundary of a crystal.…