Topological phases and bulk-edge correspondence of magnetized cold plasmas

Plasmas have been recently studied as topological materials. However, a comprehensive picture of phases and phase transitions in cold magnetized plasmas is still missing. Here we systematically map out all the establish bulk-edge correspondence plasmas. We find that for linear eigenmodes, there are 10 parameter space density $n$, magnetic field $B$, parallel wavenumber $k_{z}$, separated by surfaces Langmuir wave-L wave resonance, wave-cyclotron zero field. For fixed $B$ only transition at resonance corresponds to edge modes. A sufficient necessary condition existence this type modes given verified numerical solutions. demonstrate exist not on plasma-vacuum interface but also more general plasma-plasma interfaces. This finding broadens possible applications these exotic excitations laboratory