Adiabatic charge transport and the Kubo formula for Landau-type Hamiltonians

Alexander Elgart, Benjamin Schlein

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


The adiabatic charge transport is investigated in a two-dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap, then in the adiabatic limit the accumulated excess Hall charge is given by the linear response Kubo-Štreda formula. The proof relies on the expansion of Nenciu, some generalized phase space estimates, and a bound on the speed of propagation.

Original languageEnglish
Pages (from-to)590-615
Number of pages26
JournalCommunications on Pure and Applied Mathematics
Issue number5
StatePublished - 1 May 2004
Externally publishedYes


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