Topological waves in fluids with odd viscosity

Abstract

Fluids in which both time-reversal and parity are broken can display a dissipationless viscosity that is odd under each of these symmetries. Here, we show how this odd viscosity has a dramatic effect on topological sound waves in fluids, including the number and spatial profile of topological edge modes. Odd viscosity provides a short-distance cutoff that allows us to define a bulk topological invariant on a compact momentum space. As the sign of odd viscosity changes, a topological phase transition occurs without closing the bulk gap. Instead, at the transition point, the topological invariant becomes ill-defined because momentum space cannot be compactified. This mechanism is unique to continuum models and can describe fluids ranging from electronic to chiral active systems.

arXiv comment16 pages including Supplementary Information, 11 figures. See https://www.youtube.com/watch?v=PYeb88vwoJ0 for Supplementary Movie

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Cited by in corpus (118)

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• Odd Viscosity and Odd Elasticity
• Symmetry-protected multifold exceptional points and their topological characterization
• Topological rainbow trapping for elastic energy harvesting in graded SSH systems
• Time-(ir)reversibility in active matter: from micro to macro
• Hydrodynamics of Random-Organizing Hyperuniform Fluids
• Statistical mechanics of a chiral active fluid
• Odd viscosity in active matter: microscopic origin and 3D effects
• Guided accumulation of active particles by topological design of a second-order skin effect
• Motile dislocations knead odd crystals into whorls
• Anomalous bulk-edge correspondence in continuous media
• Ballistic and hydrodynamic magnetotransport in narrow channels
• A bulk-interface correspondence for equatorial waves
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Active viscoelasticity of odd materials
• Anomalous Topological Active Matter
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Unified description of the classical Hall viscosity
• Time reversal symmetry breaking and odd viscosity in active fluids: Green-Kubo and NEMD results
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Active Microrheology, Hall Effect, and Jamming in Chiral Fluids
• Non-reciprocal response of a two-dimensional fluid with odd viscosity
• Time reversal symmetry breaking in two-dimensional non-equilibrium viscous fluids
• Topological phase transition in coupled rock-paper-scissor cycles
• Switchable phonon diodes using nonlinear topological Maxwell lattices
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Dissipative and Hall viscosity of a disordered 2D electron gas
• Oscillatory chiral flows in confined active fluids with obstacles
• Odd mobility of a passive tracer in a chiral active fluid
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
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• Topological mechanics in quasicrystals
• Chirality transitions in a system of active flat spinners
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• Topological Langmuir-cyclotron wave
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• Odd Cosserat elasticity in active materials
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• Long-Range Nematic Order in Two-Dimensional Active Matter
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• Viscous Maxwell-Chern-Simons theory for topological electromagnetic phases of matter
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• Odd elasticity and topological waves in active surfaces
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• Asymmetric transport computations in Dirac models of topological insulators
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• From the geometry of Foucault pendulum to the topology of planetary waves
• From predicting to learning dissipation from pair correlations of active liquids
• Observable signatures of Hall viscosity in lowest Landau level superfluids
• Geometric control of topological dynamics in a singing saw
• Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Complete absorption of topologically protected waves
• Slip-induced odd viscous flow past a cylinder
• Graviton topology
• Chiral active systems near a substrate: Emergent damping length controlled by fluid friction
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Odd viscous flow past a sphere at low but nonzero Reynolds numbers
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
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• Hermitian and non-Hermitian topology in active matter
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• Mesoscale simulation model for odd fluids
• Geometric and computational aspects of chiral topological quantum matter
• Topological edge flows drive macroscopic re-organization in magnetic colloids
• Evanescent and inertial-like waves in rigidly-rotating odd viscous liquids
• Experimental Modeling of Chiral Active Robots and a Minimal Model of Non-Gaussian Displacements
• Quantum kinetic theory of flux-carrying Brownian particles
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• Symmetry-Driven Bulk-Edge Correspondence in Electron Magnetofluids at Finite Temperature
• Odd elasticity in disordered chiral active materials
• 3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies
• More on Topological Hydrodynamic Modes
• Robust wall states in rapidly rotating Rayleigh-Bénard convection
• Hydrodynamic correlation functions of chiral active fluids
• Gauge theory for topological waves in continuum fluids with odd viscosity
• Quantized Berry winding from an emergent $\mathcal{P}\mathcal{T}$ symmetry
• Internal wave crystals
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• Anomalous transport phenomenon of a charged Brownian particle under the thermal gradient and the magnetic field