5 papers
Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
F. Nur Ünal, A. Nardin, N. Goldman
Quantum Hall states are characterized by a topological invariant, the many-body Chern number, which determines their quantized Hall conductivity. This invariant also emerges in cir…
Non-Abelian Hopf-Euler insulators
Wojciech J. Jankowski, Arthur S. Morris, Zory Davoyan +3
We discuss a class of three-band non-Abelian topological insulators in three dimensions that carry a single bulk Hopf index protected by spatiotemporal () inversion s…
Interferometry of non-Abelian band singularities and Euler class topology
Oliver Breach, Robert-Jan Slager, F. Nur Ünal
In systems with a real Bloch Hamiltonian band nodes can be characterised by a non-Abelian frame-rotation charge. The ability of these band nodes to annihilate pairwise is path depe…
Optical manifestations and bounds of topological Euler class
Wojciech J. Jankowski, Arthur S. Morris, Adrien Bouhon +2
We analyze quantum-geometric bounds on optical weights in topological phases with pairs of bands hosting nontrivial Euler class, a multigap invariant characterizing non-Abelian ban…
Individually tunable tunnelling coefficients in optical lattices using local periodic driving
Georgia M. Nixon, F. Nur Unal, Ulrich Schneider
Ultracold atoms in optical lattices have emerged as powerful quantum simulators of translationally invariant systems with many applications in e.g.\ strongly-correlated and topolog…