Equality of the bulk and edge Hall conductances in a mobility gap

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dc.creatorElgart, A.
dc.creatorGraf, G. M.
dc.creatorSchenker, J. H.
dc.date2004-09-08
dc.date2005-11-02
dc.date.accessioned2026-07-07T06:38:31Z
dc.date.available2026-07-07T06:38:31Z
dc.descriptionWe consider the edge and bulk conductances for 2D quantum Hall systems in which the Fermi energy falls in a band where bulk states are localized. We show that the resulting quantities are equal, when appropriately defined. An appropriate definition of the edge conductance may be obtained through a suitable time averaging procedure or by including a contribution from states in the localized band. In a further result on the Harper Hamiltonian, we show that this contribution is essential. In an appendix we establish quantized plateaus for the conductance of systems which need not be translation ergodic.
dc.description38 pages, LaTeX, uses svjour class. Corrected a number of typos and an error in proof of Lemma four. The latter correction appears as a separate erratum in the published version. Additional typos corrected in v3
dc.identifierhttps://arxiv.org/abs/math-ph/0409017
dc.identifierhttp://arxiv.org/abs/math-ph/0409017
dc.identifierCommun. Math. Phys. 259 (2005), p. 185-221
dc.identifierdoi:10.1007/s00220-005-1369-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100764
dc.subjectMathematical Physics
dc.subjectMesoscale and Nanoscale Physics
dc.titleEquality of the bulk and edge Hall conductances in a mobility gap
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