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.
Family of ideal Chern flat bands with arbi- trary Chern number in chiral twisted graphene multi- layers,
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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.