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Area of Science:

  • Condensed matter physics
  • Fluid dynamics
  • Topological matter

Background:

  • Time reversal and parity broken fluids can possess odd viscosity.
  • Odd viscosity is a dissipationless property affecting fluid dynamics.
  • Topological sound waves are phenomena in specific fluid systems.

Purpose of the Study:

  • To investigate the impact of odd viscosity on topological sound waves.
  • To explore the role of odd viscosity in defining bulk topological invariants.
  • To characterize a novel topological phase transition mechanism in continuum fluid models.

Main Methods:

  • Theoretical analysis of topological sound waves in fluids with broken time reversal and parity symmetries.
  • Development of a bulk topological invariant using odd viscosity as a short-distance cutoff.
  • Investigation of phase transitions driven by changes in the sign of odd viscosity.

Main Results:

  • Odd viscosity dramatically influences the number and spatial profile of topological edge modes.
  • A bulk topological invariant can be defined on compact momentum space due to odd viscosity.
  • A unique topological phase transition occurs as odd viscosity changes sign, without closing the bulk gap.

Conclusions:

  • Odd viscosity provides a unique mechanism for topological phase transitions in continuum fluid models.
  • This mechanism is distinct from transitions in gapped systems and is observable in diverse systems like electronic and active matter.
  • The findings offer new insights into topological phenomena in dissipative and active fluid systems.