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Equality of bulk and edge Hall conductances for continuous magnetic random Schr\"odinger operators

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arxiv 1403.7767 v1 pith:DXPLGPVP submitted 2014-03-30 math-ph math.FAmath.MPmath.SP

Amal Taarabt This is my paper · ORCID
classification math-phmath.FAmath.MPmath.SP
keywords edgebulkconductancesequalityhallmagneticconductancecontinuous
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In this note, we prove the equality of the quantum bulk and the edge Hall conductances in mobility edges and in presence of disorder. The bulk and edge perturbations can be either of electric or magnetic nature. The edge conductance is regularized in a suitable way to enable the Fermi level to lie in a region of localized states.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory

    math-ph 2019-08 accept novelty 7.0 of 10

    For spectrally gapped, time-reversal-invariant, exponentially local 2D Hamiltonians, the Z2 bulk index equals the mod-2 index of an edge Fredholm operator.

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