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.
Geometrical Responses of Generalized Landau Levels: Structure Factor and the Quantized Hall Viscos- ity,
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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.