Topological phase in plasma physics

Abstract

Recent discoveries have demonstrated that matter can be distinguished on the basis of topological considerations, giving rise to the concept of topological phase. Introduced originally in condensed matter physics, the physics of topological phase can also be fruitfully applied to plasmas. Here, the theory of topological phase is introduced, including a discussion of Berry phase, Berry connection, Berry curvature, and Chern number. One of the clear physical manifestations of topological phase is the bulk-boundary correspondence, the existence of localized unidirectional modes at the interface between topologically distinct phases. These concepts are illustrated through examples, including the simple magnetized cold plasma. An outlook is provided for future theoretical developments and possible applications.

arXiv comment19 pages, 5 figures

References in corpus (32)

• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological Photonics
• Topological Photonics
• Making Sense of Non-Hermitian Hamiltonians
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Topological Acoustics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Analogs of quantum Hall effect edge states in photonic crystals
• Acoustic topological insulator and robust one-way sound transport
• Topological Band Theory for Non-Hermitian Hamiltonians
• Topological mechanics of gyroscopic metamaterials
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Nonlinear topological photonics
• Edge states and topological phases in non-Hermitian systems
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Topological states of non-Hermitian systems
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• Topological Origin of Equatorial Waves
• Topological waves in fluids with odd viscosity
• Plasmon Weyl Degeneracies in Magnetized Plasma
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective
• Anomalous bulk-edge correspondence in continuous media
• A bulk-interface correspondence for equatorial waves
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Physical Violations of the Bulk-Edge Correspondence in Topological Electromagnetics
• Kelvin-Helmholtz instability is the result of parity-time symmetry breaking
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Quantized Angular Momentum in Topological Optical Systems
• Chiral Maxwell waves in continuous media from Berry monopoles
• Geometric phase in Brillouin flows

Cited by in corpus (15)

• Controlling mass and energy diffusion with metamaterials
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence
• Topological Langmuir-cyclotron wave
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Topology of rotating stratified fluids with and without background shear flow
• Topological modes in stellar oscillations
• Electromagnetic Nonreciprocity in a Magnetized Plasma Circulator
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• Wave Topology in Hall MHD
• Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature
• Topological edge states of continuous Hamiltonians
• Weyl excitations via helicon-phonon mixing in conducting materials