Quantum geometry (Berry curvature and quantum metric) determines both Hall viscosity and the quadratic term in nonlocal Hall conductivity in lattice bands via a projected electric quadrupole.
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abstract
When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Elementary and basic features of odd viscosity are examined by considering solutions of the wave and Navier-Stokes equations for hypothetical fluids where the stress is dominated by odd viscosity.
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cond-mat.mes-hall 1years
2026 1verdicts
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Quantum Geometric Origin of Hall Viscosity and Nonlocal Hall Conductivity in Lattice Bands
Quantum geometry (Berry curvature and quantum metric) determines both Hall viscosity and the quadratic term in nonlocal Hall conductivity in lattice bands via a projected electric quadrupole.