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  • Open Access

Symmetry-driven bulk-edge correspondence in electron magnetofluids at finite temperature

Xianhao Rao, Adil Yolbarsop*, Hong Li†, and Wandong Liu

  • *Contact author: adil0608@ustc.edu.cn; yolbarsop@gmail.com
  • †Contact author: honglee@ustc.edu.cn
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Phys. Rev. Research 7, 023315 – Published 26 June, 2025

DOI: https://doi.org/10.1103/lvkj-3gdl

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.

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References (30)

  1. M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
  2. G. M. Graf and M. Porta, Bulk-edge correspondence for two-dimensional topological insulators, Commun. Math. Phys. 324, 851 (2013).
  3. B. A. Bernevig, Topological Insulators and Topological Superconductors (Princeton University Press, Princeton, NJ, 2013).
  4. S.-Q. Shen, Topological Insulators, Springer Series in Solid-State Sciences, Vol. 174 (Springer, Berlin, Heidelberg, 2012).
  5. P. Delplace, J. Marston, and A. Venaille, Topological origin of equatorial waves, Science 358, 1075 (2017).
  6. C. Tauber, P. Delplace, and A. Venaille, A bulk-interface correspondence for equatorial waves, J. Fluid Mech. 868, R2 (2019).
  7. A. Souslov, K. Dasbiswas, M. Fruchart, S. Vaikuntanathan, and V. Vitelli, Topological waves in fluids with odd viscosity, Phys. Rev. Lett. 122, 128001 (2019).
  8. H. Xue, Y. Yang, and B. Zhang, Topological acoustics, Nat. Rev. Mater. 7, 974 (2022).
  9. V. Peri, M. Serra-Garcia, R. Ilan, and S. D. Huber, Axial-field-induced chiral channels in an acoustic Weyl system, Nat. Phys. 15, 357 (2019).
  10. J. B. Parker, J. Marston, S. M. Tobias, and Z. Zhu, Topological gaseous plasmon polariton in realistic plasma, Phys. Rev. Lett. 124, 195001 (2020).
  11. Y. Fu and H. Qin, Topological phases and bulk-edge correspondence of magnetized cold plasmas, Nat. Commun. 12, 3924 (2021).
  12. H. Qin and Y. Fu, Topological Langmuir-cyclotron wave, Sci. Adv. 9, eadd8041 (2023).
  13. J. B. Parker, Topological phase in plasma physics, J. Plasma Phys. 87, 835870202 (2021).
  14. J. B. Parker, J. Burby, J. Marston, and S. M. Tobias, Nontrivial topology in the continuous spectrum of a magnetized plasma, Phys. Rev. Res. 2, 033425 (2020).
  15. W. Gao, B. Yang, M. Lawrence, F. Fang, B. Béri, and S. Zhang, Photonic Weyl degeneracies in magnetized plasma, Nat. Commun. 7, 12435 (2016).
  16. F. Faure, Manifestation of the topological index formula in quantum waves and geophysical waves, Ann. Henri Lebesgue 6, 449 (2023).
  17. L. Jezequel and P. Delplace, Mode-shell correspondence, a unifying theory in topological physics—Part I: Chiral number of zero-modes, SciPost Phys. 17, 060 (2024).
  18. G. R. Fonseca, F. R. Prudêncio, M. G. Silveirinha, and P. A. Huidobro, First-principles study of topological invariants of weyl points in continuous media, Phys. Rev. Res. 6, 013017 (2024).
  19. B. Booss, Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics (Springer Science & Business Media, New York, NY, 2012).
  20. B. V. Fedosov, Deformation Quantization and Index Theory, Mathematical topics, Vol. 9 (Wiley VCH, 1996).
  21. L. Hörmander, The weyl calculus of pseudo-differential operators, Commun. Pure Appl. Math. 32, 359 (1979).
  22. G. Bal, Topological invariants for interface modes, Commun. Partial Diff. Equ. 47, 1636 (2022).
  23. S. Rossi and A. Tarantola, Topology of 2D Dirac operators with variable mass and an application to shallow-water waves, J. Phys. A: Math. Theor. 57, 065201 (2024).
  24. G. M. Graf, H. Jud, and C. Tauber, Topology in shallow-water waves: A violation of bulk-edge correspondence, Commun. Math. Phys. 383, 731 (2021).
  25. G. Bal and J. Yu, Topological equatorial waves and violation (or not) of the bulk edge correspondence, arXiv:2404.13485.
  26. J. Zhao, Properties of whistler waves in warm electron plasmas, Astrophys. J. 850, 13 (2017).
  27. D. Jin, L. Lu, Z. Wang, C. Fang, J. D. Joannopoulos, M. Soljačić, L. Fu, and N. X. Fang, Topological magnetoplasmon, Nat. Commun. 7, 13486 (2016).
  28. D. A. Dubin, M. A. Hennings, and T. B. Smith, Mathematical Aspects of Weyl Quantization and Phase (World Scientific, Singapore, 2000).
  29. W. Wang, W. Gao, L. Cao, Y. Xiang, and S. Zhang, Photonic topological Fermi nodal disk in non-Hermitian magnetic plasma, Light Sci. Appl. 9, 40 (2020).
  30. L. Jezequel and P. Delplace, Non-Hermitian spectral flows and Berry-Chern monopoles, Phys. Rev. Lett. 130, 066601 (2023).

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Phys. Rev. Research 7, 023315– Published 26 June, 2025
  • Received 31 January 2025
  • Accepted 12 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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