论文标题
磁性冷等离子的拓扑阶段和散装对应关系
Topological phases and bulk-edge correspondence of magnetized cold plasmas
论文作者
论文摘要
等离子体最近被研究为拓扑材料。然而，在冷磁化等离子体中的拓扑阶段和拓扑相变的综合图像仍然缺失。在这里，我们会系统地绘制所有拓扑阶段，并在冷磁化等离子体中建立散装对应关系。 We find that for the linear eigenmodes, there are 10 topological phases in the parameter space of density $n$, magnetic field $B$, and parallel wavenumber $k_{z}$, separated by the surfaces of Langmuir wave-L wave resonance, Langmuir wave-cyclotron wave resonance, and zero magnetic field.对于固定的$ b $和$ k_ {z} $，仅在langmuir Wave-Cyclotron Wave共振上的相变对应于边缘模式。通过数值解决方案给出并验证了这种类型的边缘模式的足够和必要条件。我们证明，边缘模式不仅存在于等离子体 - vacuum界面上，还存在于更通用的等离子体 - 血浆接口上。这一发现扩大了这些外来激发在太空和实验室等离子体中的可能应用。
Plasmas have been recently studied as topological materials. However, a comprehensive picture of topological phases and topological phase transitions in cold magnetized plasmas is still missing. Here we systematically map out all the topological phases and establish the bulk-edge correspondence in cold magnetized plasmas. We find that for the linear eigenmodes, there are 10 topological phases in the parameter space of density $n$, magnetic field $B$, and parallel wavenumber $k_{z}$, separated by the surfaces of Langmuir wave-L wave resonance, Langmuir wave-cyclotron wave resonance, and zero magnetic field. For fixed $B$ and $k_{z}$, only the phase transition at the Langmuir wave-cyclotron wave resonance corresponds to edge modes. A sufficient and necessary condition for the existence of this type of edge modes is given and verified by numerical solutions. We demonstrate that edge modes exist not only on a plasma-vacuum interface but also on more general plasma-plasma interfaces. This finding broadens the possible applications of these exotic excitations in space and laboratory plasmas.
