870 citations · 5.9k across the 102 of their papers we have counts for
11 papers · 1 filter
Multi-gap topology and non-Abelian braiding of phonons from first principles
Bo Peng, Adrien Bouhon, Robert-Jan Slager +1
Non-Abelian states of matter, in which the final state depends on the order of the interchanges of two quasiparticles, can encode information immune from environmental noise with t…
Localization via Quasi-Periodic Bulk-Bulk Correspondence
Dan S. Borgnia, Robert-Jan Slager
We report on a direct connection between quasi-periodic topology and the Almost Mathieu (Andre-Aubry) metal insulator transition (MIT). By constructing quasi-periodic transfer matr…
Optical -insulators: topological obstructions in the atomistic susceptibility tensor
Todd Van Mechelen, Robert-Jan Slager, Sathwik Bharadwaj +1
A powerful result of topological band theory is that nontrivial phases manifest obstructions to constructing localized Wannier functions. In Chern insulators, it is impossible to c…
Rational Approximations of Quasi-Periodic Problems via Projected Green's Functions
Dan S. Borgnia, Ashvin Vishwanath, Robert-Jan Slager
We introduce the projected Green's function technique to study quasi-periodic systems such as the Andre-Aubry-Harper (AAH) model and beyond. In particular, we use projected Green's…
Topological continuum charges of acoustic phonons in 2D
Gunnar F. Lange, Adrien Bouhon, Bartomeu Monserrat +1
We analyze the band topology of acoustic phonons in 2D materials by considering the interplay of spatial and internal symmetries with additional constraints that arise from the phy…
Manipulation and braiding of Weyl nodes using symmetry-constrained phase transitions
Siyu Chen, Adrien Bouhon, Robert-Jan Slager +1
Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been exten…