Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
arXiv:2309.10110 · doi:10.1103/PhysRevResearch.6.023273
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 Alfvén-sound wave in magnetized plasmas.
References in corpus (17)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Making Sense of Non-Hermitian Hamiltonians
- The physics of exceptional points
- Topological Acoustics
- Analogs of quantum Hall effect edge states in photonic crystals
- Topological Origin of Non-Hermitian Skin Effects
- Topological response in Weyl semimetals and the chiral anomaly
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Non-Hermitian topological phenomena: A review
- Topological Nature of the Phonon Hall Effect
- Topological Langmuir-cyclotron wave
- A Gauge Theory for Shallow Water
- The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
- Non-Hermitian spectral flows and Berry-Chern monopoles
- Unidirectional modes induced by nontraditional Coriolis force in stratified fluids
- Photon topology