- 03-366 J. Kellendonk, H. Schulz-Baldes
- Quantization of edge currents for continuous magnetic operators
(446K, Postscript)
Aug 14, 03
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Abstract. 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
currents is proven. This shows that the concept of edge
channels also makes sense in presence of disorder. Moreover,
gaussian bounds on the heat kernel and its covariant
derivatives are obtained.
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