Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915126424109056 |
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| author | Rao, Xianhao Yolbarsop, Adil Li, Hong Liu, Wandong |
| author_facet | Rao, Xianhao Yolbarsop, Adil Li, Hong Liu, Wandong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature Rao, Xianhao Yolbarsop, Adil Li, Hong Liu, Wandong Plasma Physics 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. |
| title | Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2501.16942 |