Topological waves in fluids with odd viscosity

Anton Souslov, Kinjal Dasbiswas, Michel Fruchart, Suriyanarayanan Vaikuntanathan, Vincenzo Vitelli

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.
LanguageEnglish
Article number128001
JournalPhysical Review Letters
Volume122
Issue number12
Early online date26 Mar 2019
DOIs
StatusPublished - 29 Mar 2019

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viscosity
fluids
temperature distribution
penetration
transport properties
acoustics
symmetry
coefficients
profiles
magnetic fields
interactions

Keywords

  • cond-mat.soft

Cite this

Souslov, A., Dasbiswas, K., Fruchart, M., Vaikuntanathan, S., & Vitelli, V. (2019). Topological waves in fluids with odd viscosity. Physical Review Letters, 122(12), [128001]. https://doi.org/10.1103/PhysRevLett.122.128001

Topological waves in fluids with odd viscosity. / Souslov, Anton; Dasbiswas, Kinjal; Fruchart, Michel; Vaikuntanathan, Suriyanarayanan; Vitelli, Vincenzo.

In: Physical Review Letters, Vol. 122, No. 12, 128001, 29.03.2019.

Research output: Contribution to journalArticle

Souslov, A, Dasbiswas, K, Fruchart, M, Vaikuntanathan, S & Vitelli, V 2019, 'Topological waves in fluids with odd viscosity', Physical Review Letters, vol. 122, no. 12, 128001. https://doi.org/10.1103/PhysRevLett.122.128001
Souslov A, Dasbiswas K, Fruchart M, Vaikuntanathan S, Vitelli V. Topological waves in fluids with odd viscosity. Physical Review Letters. 2019 Mar 29;122(12). 128001. https://doi.org/10.1103/PhysRevLett.122.128001
Souslov, Anton ; Dasbiswas, Kinjal ; Fruchart, Michel ; Vaikuntanathan, Suriyanarayanan ; Vitelli, Vincenzo. / Topological waves in fluids with odd viscosity. In: Physical Review Letters. 2019 ; Vol. 122, No. 12.
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