Quantization of edge currents for continuous magnetic operators

Details Quantization of edge currents for continuous magnetic operators Quantization of edge currents for continuous magnetic operators

2004-05-07

arxiv.org/abs/math-ph/0405021v1

J. Funct. Anal. 209, 388-413 (2004)

Physics

Mathematical Physics

Scientific paper

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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