Adrien Bouhon

TL;DR: In this article, the authors present a general and directly implementable tool to diagnose the full topological characterization of bands using Wilson flows, and find a general relation and unambiguous representation of these novel topological concepts.

TL;DR: It is theoretically demonstrate that quenching with nontrivial Euler Hamiltonian results in stable monopole-antimonopole pairs, which in turn induce a linking of momentum-time trajectories under the first Hopf map, making the invariant experimentally observable.

TL;DR: In this article, the concept of corner charge fractionalization is employed to characterize spinful insulating phases of matter that are protected by time-reversal and crystalline symmetries.

TL;DR: This work presents a framework to systematically address topological phases when finer partitionings of bands are taken into account, rather than only considering the two subspaces spanned by valence and conduction bands, and makes use of a geometric construction to induce windings in the band structure necessary to facilitate nontrivial topology.

TL;DR: In this article, it is shown that Weyl points in systems that are symmetric under the composition of time reversal with a π rotation are characterized by a non-Abelian topological invariant.