Topological waves and bulk-edge correspondence in magnetized plasmas

Topological phases of electronic and photonic systems have become a rapidly emerging field of research. Studies have shown that these topological ideas can also be applied to continuous media, such as plasmas and fluids. In a recent study [Nat. Commun. 12, 3924 (2021)], we found that there are ten topological phases in the parameter space of density $n$, magnetic field $B$, and parallel wavenumber $k_z$, and topologically protected edge modes can be excited at the interface between topologically different plasmas, as required by the bulk-edge correspondence. A necessary and sufficient condition for the existence of these edges modes was given. We will also report the recent progress in topological phase transitions and edge modes at general 2D plasma interfaces and the energy and momentum transport due to these topologically protected excitations.