The notion of charge deficiency by Avron et al. [“Charge deficiency, charge transport and comparison of dimensions,” Commun. Math. Phys. 159, 399 (1994)] is studied from the view of -theory of operator algebras and is applied to the Landau levels in . We calculate the charge deficiencies at the higher Landau levels in by means of an Atiyah–Singer-type index theorem.
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2010
American Institute of Physics
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