Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media

• URL: http://arxiv.org/abs/2309.10110v2
• Date: Thu, 13 Jun 2024 18:33:02 GMT
• Title: Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Authors: Yichen Fu, Hong Qin,
• Abstract summary: We show that the connection between topological modes and bulk topology still exists despite the non-Hermiticity at the interface. We identify a topological mode called topological Alfv'en-sound wave in magnetized plasmas.
• Score: 18.79946237767752
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem. However, the interface between two bulks is usually non-Hermitian due to the inhomogeneities of system parameters. We show that the connection between topological modes and bulk topology still exists despite the non-Hermiticity at the interface if the system is endowed with PT symmetry. The theoretical framework developed is applied to the Hall magnetohydrodynamic model to identify a topological mode called topological Alfv\'{e}n-sound wave in magnetized plasmas.

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