p-orbital disclination states in non-Euclidean geometries

Photonic p-orbital higher-order topological insulators

“…These results have a direct impact on topological photonics involving the ODoF, especially given that different experimental platforms have enabled active and precise control of gain and dissipation, on-site energy, and coupling strength, in both real and synthetic dimensions [52][53][54][55] . For instance, using the ODoF, it is possible to construct a host of new topological phases including hybrid quadrupole topological insulators 56 and orbital modes in non-Euclidean surfaces with disclinations 57 . Our results may prove relevant to those studies, as well as to other orbital systems beyond photonics.…”