BIRS Workshop Lecture Videos
The Avron-Dana-Zak relation constrains the allowed values of the Hall conductivity and the charge density in the ground state of a spatially periodic Hall fluid with rational flux per unit cell Bols, Alexander
As an application of the many-body index (see Sven Bachmann's talk), the Avron-Dana-Zak relation is shown to hold in the context of interacting quantum lattice systems, for the integer and fractional quantum Hall effects. A key formal property used to obtain this result is the additivity of the many-body index.
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