61 citations · 271 across the 22 of their papers we have counts for
5 papers · 1 filter
Quantum Hall edges beyond the plasma analogy
Per Moosavi, Blagoje Oblak, Bastien Lapierre +2
We demonstrate that the widely used plasma analogy is unreliable at predicting edge properties of quantum Hall states. This discrepancy arises from a fundamental difference between…
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…
Anisotropic Quantum Hall Droplets
Blagoje Oblak, Bastien Lapierre, Per Moosavi +2
We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods ada…
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…