Topological phases and bulk-edge correspondence of magnetized cold plasmas

Abstract

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.

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Cited by in corpus (23)

• Topological thermal transport
• Topological Invariant and Anomalous Edge Modes of Strongly Nonlinear Systems
• Topological Langmuir-cyclotron wave
• Nonlinear Topological Mechanics in Elliptically Geared Isostatic Metamaterials
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Unidirectional modes induced by nontraditional Coriolis force in stratified fluids
• Topological plasma transport from a diffusion view
• Strongly Nonlinear Topological Phases of Cascaded Topoelectrical Circuits
• Topology of rotating stratified fluids with and without background shear flow
• Electromagnetic Nonreciprocity in a Magnetized Plasma Circulator
• Photon topology
• Spin Hall effect of radiofrequency waves in magnetized plasmas
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Graviton topology
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Helicity is a topological invariant of massless particles: C=-2h
• Wave Topology in Hall MHD
• Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature
• Topological edge states of continuous Hamiltonians
• Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas
• Equatorial magnetoplasma waves
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Weyl excitations via helicon-phonon mixing in conducting materials