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math.SP2010★ 21 cited
Quantization of edge currents along magnetic barriers and magnetic guides
N. Dombrowski, F. Germinet, G. D. Raikov
We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated…
math.SP2010★ 1 cited
Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media
N. Dombrowski, F. Germinet, G. D. Raikov
In this note we consider a Landau Hamiltonian perturbed by a random magnetic potential of Anderson type. For a given number of bands, we prove the existence of both strongly locali…