5 papers
Limit absorption and Green function estimates for matrix-valued periodic operators
Miguel Ballesteros, Gerardo Franco Cordova, Hermann Schulz-Baldes
The boundary value of the resolvent of a generic periodic tight-binding Hamiltonian with matrix symbols is shown to satisfy a limit absorption principle which is continuous in ener…
Boundary maps for -crossed products with R with an application to the quantum Hall effect
Johannes Kellendonk, Hermann Schulz-Baldes
The boundary map in K-theory arising from the Wiener-Hopf extension of a crossed product algebra with R is the Connes-Thom isomorphism. In this article the Wiener Hopf extension is…
Quantization of edge currents for continuous magnetic operators
Johannes Kellendonk, Hermann Schulz-Baldes
For a magnetic Hamiltonian on a half-plane given as the sum of the Landau operator with Dirichlet boundary conditions and a random potential, a quantization theorem for the edge cu…
Perturbation theory for Lyapunov exponents of an Anderson model on a strip
Hermann Schulz-Baldes
It is proven that the inverse localization length of an Anderson model on a strip of width is bounded above by for small values of the coupling constant of the diso…
Simultaneous quantization of edge and bulk Hall conductivity
H. Schulz-Baldes, J. Kellendonk, Th. Richter
The edge Hall conductivity is shown to be an integer multiple of which is almost surely independent of the choice of the disordered configuration. Its equality to the bulk…