Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas

Abstract

Topological wave phenomena in continuous media are fundamentally challenged by unbounded spectra and the absence of a compact Brillouin zone, which obstruct conventional bulk--interface formulations. We develop a unified phase-space framework for screened magnetized plasma based on a pseudo-Hermitian formulation with a positive-definite metric, enabling a generalized Schrödinger description and a Weyl-symbol analysis of the bulk generator. We show that the bulk symbol hosts isolated band degeneracies acting as Berry--Chern monopoles, including a higher-order spin-1 degeneracy with topological charge $+2$ that generically splits into two spin-$\frac{1}{2}$ Weyl points under symmetry breaking. To characterize topology in this noncompact setting, we introduce a strip-gap Chern number associated with finite real-frequency strips of the bulk spectrum, extending band Chern topology to continuum systems. This invariant governs the spectral flow of interface modes induced by spatial variations of the magnetic field and establishes a bulk--interface correspondence at the level of phase-space symbols. By solving the interface eigenvalue problem, we demonstrate that the net spectral flow across the strip gap is determined by the enclosed monopole charge. We further show that this correspondence persists under collisional damping, provided that a finite strip gap remains and no exceptional points enter it. Our results provide a systematic phase-space framework for topological wave transport in continuous media beyond compact-band and idealized Hermitian settings.

References in corpus (19)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Topological Photonics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Bulk-edge correspondence for two-dimensional topological insulators
• Topological Origin of Equatorial Waves
• Topological magnetoplasmon
• Topological non-Hermitian origin of surface Maxwell waves
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Topological Langmuir-cyclotron wave
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Wave Topology in Hall MHD
• Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature