  Topological Langmuir-Cyclotron Wave (TLCW) is a recently identified
topological surface excitation in magnetized plasmas. We show that TLCW
originates from the topological phase transition at the Langmuir wave-cyclotron
wave resonance. By isofrequency surface analysis and 2D and 3D time-dependent
simulations, we demonstrate that the TLCW can propagate robustly along complex
phase transition interfaces in a unidirectional manner and without scattering.
Because of these desirable features, the TLCW could be explored as an effective
mechanism to drive current and flow in magnetized plasmas. The analysis also
establishes a close connection between the newly instituted topological phase
classification of plasmas and the classical CMA diagram of plasma waves.
