Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
Elgart, Alexander ; Schlein, Benjamin
arXiv, 0304009 / Harvested from arXiv
Text on arXiv
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 transport is given by the linear response Kubo-Streda formula. The proof relies on the expansion of Nenciu, some generalized phase space estimates, and a bound on the speed of propagation.
Publié le : 2003-04-04
Classification:  Mathematical Physics,  Mathematics - Functional Analysis 
@article{0304009,
     author = {Elgart, Alexander and Schlein, Benjamin},
     title = {Adiabatic Charge Transport and the Kubo Formula for Landau Type
  Hamiltonians},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304009}
}

Elgart, Alexander; Schlein, Benjamin. Adiabatic Charge Transport and the Kubo Formula for Landau Type
  Hamiltonians. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304009/