Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature

TL;DR

This paper establishes a theoretical link between topological invariants in momentum and phase space, specifically applied to topological Langmuir-cyclotron waves in finite-temperature magnetized plasmas, confirming their existence through numerical and analytical methods.

Contribution

It provides a rigorous theoretical framework connecting pseudo-Chern number and spectral flow index, validating previous heuristic approaches in continuous media at finite temperature.

Findings

Confirmed existence of TLCWs in finite-temperature plasmas

Derived a rigorous correspondence between topological invariants

Validated topological phenomena through numerical and analytical methods

Abstract

We present a theoretical framework connecting the pseudo-Chern number in momentum space to the spectral flow index in phase space for continuous media, with specific applications to topological Langmuir-cyclotron waves (TLCWs) in magnetized plasmas at uniform finite temperatures. By deriving a rigorous correspondence between these two topological invariants, we provide a solid justification for previous studies that applied this relationship heuristically across various continuous media. For magnetized plasmas with finite-temperature effects, we confirm the existence of TLCWs through numerical computation of bulk Chern number differences and analytical calculation of the spectral flow index. These findings advance the understanding of topological phenomena in continuous media.