J.E.Avron and P.G. Zograf
Geometric Forces on Point Fluxes in Quantum Hall Fluids
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ABSTRACT. We study the forces that act on a point flux carrying an integral
number of flux units in quantum Hall fluids. Forces due to external fields,
Lorentz and Magnus type forces, and the forces due to mutual interaction of
point fluxes are considered. The forces are related to the adiabatic curvature
associated with families of Landau Hamiltonians. The problem displays distinct
features of the quantum Hall fluids with point fluxes on the plane and on the
torus, which, however, agree at the ``thermodynamic'' limit.