Topological Origin of Equatorial Waves

Abstract

Topology sheds new light on the emergence of unidirectional edge waves in a variety of physical systems, from condensed matter to artificial lattices. Waves observed in geophysical flows are also robust to perturbations, which suggests a role for topology. We show a topological origin for two celebrated equatorially trapped waves known as Kelvin and Yanai modes, due to the Earth's rotation that breaks time-reversal symmetry. The non-trivial structure of the bulk Poincaré wave modes encoded through the first Chern number of value $2$ guarantees existence for these waves. This invariant demonstrates that ocean and atmospheric waves share fundamental properties with topological insulators, and that topology plays an unexpected role in the Earth climate system.

References in corpus (3)

• Topological Photonics
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Chiral P-Wave Order in Sr_2RuO_4

Cited by in corpus (120)

• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Topological active matter
• Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
• Topological waves in fluids with odd viscosity
• Topological Magnons in Kitaev Magnets at High Fields
• Relations between topology and the quantum metric for Chern insulators
• Topological non-Hermitian origin of surface Maxwell waves
• Mirror skin effect and its electric circuit simulation
• Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators
• Topological localization in out-of-equilibrium dissipative systems
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Soft self-assembly of Weyl materials for light and sound
• A bulk-interface correspondence for equatorial waves
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Robust boundary flow in chiral active fluid
• Anomalous Topological Active Matter
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Bulk-edge correspondence of classical diffusion phenomena
• Topological phase transition in coupled rock-paper-scissor cycles
• Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
• RKKY interaction in a doped pseudospin-1 fermion system at finite temperature
• Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
• Unconventional topology with a Rashba spin-orbit coupled quantum gas
• Topological Langmuir-cyclotron wave
• Newton-Cartan Submanifolds and Fluid Membranes
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Liquid-crystal-based topological photonics
• Microlocal analysis of the bulk-edge correspondence
• Floquet engineering topological Dirac bands
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Topological phase in plasma physics
• Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
• Non-Hermitian topology in rock-paper-scissors games
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Wave topology brought to the coast
• Chiral Maxwell waves in continuous media from Berry monopoles
• Active Flows on Curved Surfaces
• A Gauge Theory for Shallow Water
• An intrinsic pink-noise multi-decadal global climate dynamics mode
• Magnetically-defined topological edge plasmons in edgeless electron gas
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Characterization of edge states in perturbed honeycomb structures
• Dissipative effects in odd viscous Stokes flow around a single sphere
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Odd elasticity and topological waves in active surfaces
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Topological valleytronics: Brought to light
• Unidirectional modes induced by nontraditional Coriolis force in stratified fluids
• Higher-order topological heat conduction on a lattice for detection of corner states
• Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
• Topology in shallow-water waves: A spectral flow perspective
• Linearly forced fluid flow on a rotating sphere
• Visualizing higher-fold topology in chiral crystals
• Topology of rotating stratified fluids with and without background shear flow
• Manifestation of Berry curvature in geophysical ray tracing
• Topological modes in stellar oscillations
• Computing edge states without hard truncation
• Photon topology
• Thermodynamic equilibrium of binary mixtures on curved surfaces
• Asymmetric transport computations in Dirac models of topological insulators
• Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
• Rayleigh Edge Waves in Two-Dimensional Crystals with Lorentz Forces -- from Skyrmion Crystals to Gyroscopic Media
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Chiral Edge Modes in Helmholtz-Onsager Vortex Systems
• Wave-packet propagation in a finite topological insulator and the spectral localizer index
• A topological fluctuation theorem
• Topological chiral interface states beyond insulators
• Quasi-One-Dimensional Higher-Order Topological Insulators
• From the geometry of Foucault pendulum to the topology of planetary waves
• Geometric control of topological dynamics in a singing saw
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Shallow Water Memory: Stokes and Darwin Drifts
• Anomalous Floquet Phases. A resonance phenomena
• Momentum-Space Topological Effects of Nonreciprocity
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Complete absorption of topologically protected waves
• Graviton topology
• Asymmetric transport for magnetic Dirac equations
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Topological phases of amorphous matter
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Helicity is a topological invariant of massless particles: C=-2h
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Hermitian and non-Hermitian topology in active matter
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Classifying topological floppy modes in the continuum
• Classifying bulk-edge anomalies in the Dirac Hamiltonian
• Topological edge flows drive macroscopic re-organization in magnetic colloids
• Wave Topology in Hall MHD
• Boundary conditions and violations of bulk-edge correspondence in a hydrodynamic model
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Topological Effects of a Vorticity Filament on the Coherent Backscattering Cone
• Chiral topological phases in designed mechanical networks
• Robust wall states in rapidly rotating Rayleigh-Bénard convection
• On a formal equivalence between electro-magnetic waves in cold plasma and shallow water inertio-gravity waves
• Photonic topological Anderson insulator in a two-dimensional atomic lattice
• Topological Signature of Stratospheric Poincare -- Gravity Waves
• Scattering theory of topologically protected edge transport
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• More on Topological Hydrodynamic Modes
• Berry Phases in the Bosonization of Nonlinear Edge Modes
• Analytic bulk-edge connection in circular-symmetric models
• Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature
• Topological edge states of continuous Hamiltonians
• Zero absolute vorticity plane Couette flow as an hydrodynamic representation of quantum energy states under perpendicular magnetic field
• Equatorial magnetoplasma waves
• Internal wave crystals
• Vielbein Lattice Boltzmann approach for fluid flows on spherical surfaces
• Robust propagation of internal coastal Kelvin waves in complex domains
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Geometric Localization of Waves on Thin Elastic Structures
• Phase-Space Topology and Spectral Flow in Screened Magnetized Plasmas